Finding the Fourth Proportional to 9,577.24, 13,216.50 and 5,385.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.24 : 13,216.50 = 5,385.46 : x
2. Step 2: Convert to fraction form
   9,577.24/13,216.50 = 5,385.46/x
3. Step 3: Cross multiply
   9,577.24x = 13,216.50 × 5,385.46
4. Step 4: Simplify right side
   9,577.24x = 71,176,932.09
5. Step 5: Solve for x
   x = 71,176,932.09/9,577.24
6. Step 6: Final answer
   x = 7,431.88