Finding the Fourth Proportional to 9,352.30, 12,906.24 and 5,577.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,352.30 : 12,906.24 = 5,577.16 : x
2. Step 2: Convert to fraction form
   9,352.30/12,906.24 = 5,577.16/x
3. Step 3: Cross multiply
   9,352.30x = 12,906.24 × 5,577.16
4. Step 4: Simplify right side
   9,352.30x = 71,980,165.48
5. Step 5: Solve for x
   x = 71,980,165.48/9,352.30
6. Step 6: Final answer
   x = 7,696.52