Finding the Fourth Proportional to 214,535.89, 296,113.92 and 146,580.31

Step by Step Solution

1. Step 1: Write the proportion equation
   214,535.89 : 296,113.92 = 146,580.31 : x
2. Step 2: Convert to fraction form
   214,535.89/296,113.92 = 146,580.31/x
3. Step 3: Cross multiply
   214,535.89x = 296,113.92 × 146,580.31
4. Step 4: Simplify right side
   214,535.89x = 43,404,470,188.92
5. Step 5: Solve for x
   x = 43,404,470,188.92/214,535.89
6. Step 6: Final answer
   x = 202,317.99