Finding the Fourth Proportional to 9,156.75, 12,637.42 and 5,177.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156.75 : 12,637.42 = 5,177.82 : x
2. Step 2: Convert to fraction form
   9,156.75/12,637.42 = 5,177.82/x
3. Step 3: Cross multiply
   9,156.75x = 12,637.42 × 5,177.82
4. Step 4: Simplify right side
   9,156.75x = 65,434,320.47
5. Step 5: Solve for x
   x = 65,434,320.47/9,156.75
6. Step 6: Final answer
   x = 7,146.02