Finding the Fourth Proportional to 9,177.91, 12,665.55 and 5,199.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,177.91 : 12,665.55 = 5,199.76 : x
2. Step 2: Convert to fraction form
   9,177.91/12,665.55 = 5,199.76/x
3. Step 3: Cross multiply
   9,177.91x = 12,665.55 × 5,199.76
4. Step 4: Simplify right side
   9,177.91x = 65,857,820.27
5. Step 5: Solve for x
   x = 65,857,820.27/9,177.91
6. Step 6: Final answer
   x = 7,175.69