Finding the Fourth Proportional to 5,525.30, 8,329.32 and 5,158.64

Step by Step Solution

1. Step 1: Write the proportion equation
   5,525.30 : 8,329.32 = 5,158.64 : x
2. Step 2: Convert to fraction form
   5,525.30/8,329.32 = 5,158.64/x
3. Step 3: Cross multiply
   5,525.30x = 8,329.32 × 5,158.64
4. Step 4: Simplify right side
   5,525.30x = 42,967,963.32
5. Step 5: Solve for x
   x = 42,967,963.32/5,525.30
6. Step 6: Final answer
   x = 7,776.58