Finding the Fourth Proportional to 9,156.31, 12,635.64 and 5,177.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156.31 : 12,635.64 = 5,177.42 : x
2. Step 2: Convert to fraction form
   9,156.31/12,635.64 = 5,177.42/x
3. Step 3: Cross multiply
   9,156.31x = 12,635.64 × 5,177.42
4. Step 4: Simplify right side
   9,156.31x = 65,420,015.25
5. Step 5: Solve for x
   x = 65,420,015.25/9,156.31
6. Step 6: Final answer
   x = 7,144.80