Finding the Fourth Proportional to 9,385.50, 12,952.23 and 5,659.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.50 : 12,952.23 = 5,659.74 : x
2. Step 2: Convert to fraction form
   9,385.50/12,952.23 = 5,659.74/x
3. Step 3: Cross multiply
   9,385.50x = 12,952.23 × 5,659.74
4. Step 4: Simplify right side
   9,385.50x = 73,306,254.22
5. Step 5: Solve for x
   x = 73,306,254.22/9,385.50
6. Step 6: Final answer
   x = 7,810.59