Finding the Fourth Proportional to 9,812.10, 14,655.75 and 8,429.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.10 : 14,655.75 = 8,429.43 : x
2. Step 2: Convert to fraction form
   9,812.10/14,655.75 = 8,429.43/x
3. Step 3: Cross multiply
   9,812.10x = 14,655.75 × 8,429.43
4. Step 4: Simplify right side
   9,812.10x = 123,539,618.72
5. Step 5: Solve for x
   x = 123,539,618.72/9,812.10
6. Step 6: Final answer
   x = 12,590.54