Finding the Fourth Proportional to 9,847.82, 13,592.32 and 5,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,847.82 : 13,592.32 = 5,658.50 : x
2. Step 2: Convert to fraction form
   9,847.82/13,592.32 = 5,658.50/x
3. Step 3: Cross multiply
   9,847.82x = 13,592.32 × 5,658.50
4. Step 4: Simplify right side
   9,847.82x = 76,912,060.61
5. Step 5: Solve for x
   x = 76,912,060.61/9,847.82
6. Step 6: Final answer
   x = 7,810.06