Finding the Fourth Proportional to 9,792.29, 14,678.58 and 5,631.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792.29 : 14,678.58 = 5,631.05 : x
2. Step 2: Convert to fraction form
   9,792.29/14,678.58 = 5,631.05/x
3. Step 3: Cross multiply
   9,792.29x = 14,678.58 × 5,631.05
4. Step 4: Simplify right side
   9,792.29x = 82,655,875.72
5. Step 5: Solve for x
   x = 82,655,875.72/9,792.29
6. Step 6: Final answer
   x = 8,440.91