Finding the Fourth Proportional to 9,162.29, 12,644.87 and 5,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,162.29 : 12,644.87 = 5,577.50 : x
2. Step 2: Convert to fraction form
   9,162.29/12,644.87 = 5,577.50/x
3. Step 3: Cross multiply
   9,162.29x = 12,644.87 × 5,577.50
4. Step 4: Simplify right side
   9,162.29x = 70,526,671.31
5. Step 5: Solve for x
   x = 70,526,671.31/9,162.29
6. Step 6: Final answer
   x = 7,697.50