Finding the Fourth Proportional to 9,142.72, 12,612 and 5,779.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.72 : 12,612 = 5,779.24 : x
2. Step 2: Convert to fraction form
   9,142.72/12,612 = 5,779.24/x
3. Step 3: Cross multiply
   9,142.72x = 12,612 × 5,779.24
4. Step 4: Simplify right side
   9,142.72x = 72,887,774.88
5. Step 5: Solve for x
   x = 72,887,774.88/9,142.72
6. Step 6: Final answer
   x = 7,972.22