Finding the Fourth Proportional to 9,577.02, 13,216.14 and 5,385.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.02 : 13,216.14 = 5,385.27 : x
2. Step 2: Convert to fraction form
   9,577.02/13,216.14 = 5,385.27/x
3. Step 3: Cross multiply
   9,577.02x = 13,216.14 × 5,385.27
4. Step 4: Simplify right side
   9,577.02x = 71,172,482.26
5. Step 5: Solve for x
   x = 71,172,482.26/9,577.02
6. Step 6: Final answer
   x = 7,431.59