Finding the Fourth Proportional to 9,385.20, 12,949.56 and 5,659.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.20 : 12,949.56 = 5,659.12 : x
2. Step 2: Convert to fraction form
   9,385.20/12,949.56 = 5,659.12/x
3. Step 3: Cross multiply
   9,385.20x = 12,949.56 × 5,659.12
4. Step 4: Simplify right side
   9,385.20x = 73,283,113.99
5. Step 5: Solve for x
   x = 73,283,113.99/9,385.20
6. Step 6: Final answer
   x = 7,808.37