Finding the Fourth Proportional to 2,454.06, 3,678.06 and 1,412.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,454.06 : 3,678.06 = 1,412.01 : x
2. Step 2: Convert to fraction form
   2,454.06/3,678.06 = 1,412.01/x
3. Step 3: Cross multiply
   2,454.06x = 3,678.06 × 1,412.01
4. Step 4: Simplify right side
   2,454.06x = 5,193,457.50
5. Step 5: Solve for x
   x = 5,193,457.50/2,454.06
6. Step 6: Final answer
   x = 2,116.27