Finding the Fourth Proportional to 314,105.92, 470,979.84 and 214,386.82

Step by Step Solution

1. Step 1: Write the proportion equation
   314,105.92 : 470,979.84 = 214,386.82 : x
2. Step 2: Convert to fraction form
   314,105.92/470,979.84 = 214,386.82/x
3. Step 3: Cross multiply
   314,105.92x = 470,979.84 × 214,386.82
4. Step 4: Simplify right side
   314,105.92x = 100,971,870,181.71
5. Step 5: Solve for x
   x = 100,971,870,181.71/314,105.92
6. Step 6: Final answer
   x = 321,458.03