Finding the Fourth Proportional to 9,842.48, 14,767.56 and 5,680.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,842.48 : 14,767.56 = 5,680.29 : x
2. Step 2: Convert to fraction form
   9,842.48/14,767.56 = 5,680.29/x
3. Step 3: Cross multiply
   9,842.48x = 14,767.56 × 5,680.29
4. Step 4: Simplify right side
   9,842.48x = 83,884,023.39
5. Step 5: Solve for x
   x = 83,884,023.39/9,842.48
6. Step 6: Final answer
   x = 8,522.65