Finding the Fourth Proportional to 7,566.58, 10,438.95 and 5,581.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,566.58 : 10,438.95 = 5,581.86 : x
2. Step 2: Convert to fraction form
   7,566.58/10,438.95 = 5,581.86/x
3. Step 3: Cross multiply
   7,566.58x = 10,438.95 × 5,581.86
4. Step 4: Simplify right side
   7,566.58x = 58,268,757.45
5. Step 5: Solve for x
   x = 58,268,757.45/7,566.58
6. Step 6: Final answer
   x = 7,700.81