Finding the Fourth Proportional to 9,156.72, 12,636.08 and 5,177.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156.72 : 12,636.08 = 5,177.74 : x
2. Step 2: Convert to fraction form
   9,156.72/12,636.08 = 5,177.74/x
3. Step 3: Cross multiply
   9,156.72x = 12,636.08 × 5,177.74
4. Step 4: Simplify right side
   9,156.72x = 65,426,336.86
5. Step 5: Solve for x
   x = 65,426,336.86/9,156.72
6. Step 6: Final answer
   x = 7,145.17