Finding the Fourth Proportional to 9,793.30, 14,680.09 and 5,632.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,793.30 : 14,680.09 = 5,632.06 : x
2. Step 2: Convert to fraction form
   9,793.30/14,680.09 = 5,632.06/x
3. Step 3: Cross multiply
   9,793.30x = 14,680.09 × 5,632.06
4. Step 4: Simplify right side
   9,793.30x = 82,679,046.12
5. Step 5: Solve for x
   x = 82,679,046.12/9,793.30
6. Step 6: Final answer
   x = 8,442.41