Finding the Fourth Proportional to 7,086.57, 9,753.05 and 5,665.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,086.57 : 9,753.05 = 5,665.02 : x
2. Step 2: Convert to fraction form
   7,086.57/9,753.05 = 5,665.02/x
3. Step 3: Cross multiply
   7,086.57x = 9,753.05 × 5,665.02
4. Step 4: Simplify right side
   7,086.57x = 55,251,194.99
5. Step 5: Solve for x
   x = 55,251,194.99/7,086.57
6. Step 6: Final answer
   x = 7,796.61