Finding the Fourth Proportional to 5,765.16, 7,932.42 and 5,634.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,765.16 : 7,932.42 = 5,634.12 : x
2. Step 2: Convert to fraction form
   5,765.16/7,932.42 = 5,634.12/x
3. Step 3: Cross multiply
   5,765.16x = 7,932.42 × 5,634.12
4. Step 4: Simplify right side
   5,765.16x = 44,692,206.17
5. Step 5: Solve for x
   x = 44,692,206.17/5,765.16
6. Step 6: Final answer
   x = 7,752.12