Finding the Fourth Proportional to 7,565.82, 11,338.38 and 5,715.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,565.82 : 11,338.38 = 5,715.42 : x
2. Step 2: Convert to fraction form
   7,565.82/11,338.38 = 5,715.42/x
3. Step 3: Cross multiply
   7,565.82x = 11,338.38 × 5,715.42
4. Step 4: Simplify right side
   7,565.82x = 64,803,603.82
5. Step 5: Solve for x
   x = 64,803,603.82/7,565.82
6. Step 6: Final answer
   x = 8,565.31