Finding the Fourth Proportional to 10,259.83, 14,182.47 and 9,151.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.83 : 14,182.47 = 9,151.75 : x
2. Step 2: Convert to fraction form
   10,259.83/14,182.47 = 9,151.75/x
3. Step 3: Cross multiply
   10,259.83x = 14,182.47 × 9,151.75
4. Step 4: Simplify right side
   10,259.83x = 129,794,419.82
5. Step 5: Solve for x
   x = 129,794,419.82/10,259.83
6. Step 6: Final answer
   x = 12,650.74