Finding the Fourth Proportional to 9,176.91, 12,664.17 and 5,198.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,176.91 : 12,664.17 = 5,198.76 : x
2. Step 2: Convert to fraction form
   9,176.91/12,664.17 = 5,198.76/x
3. Step 3: Cross multiply
   9,176.91x = 12,664.17 × 5,198.76
4. Step 4: Simplify right side
   9,176.91x = 65,837,980.43
5. Step 5: Solve for x
   x = 65,837,980.43/9,176.91
6. Step 6: Final answer
   x = 7,174.31