Finding the Fourth Proportional to 10,259.83, 14,151.15 and 9,916.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.83 : 14,151.15 = 9,916.78 : x
2. Step 2: Convert to fraction form
   10,259.83/14,151.15 = 9,916.78/x
3. Step 3: Cross multiply
   10,259.83x = 14,151.15 × 9,916.78
4. Step 4: Simplify right side
   10,259.83x = 140,333,841.30
5. Step 5: Solve for x
   x = 140,333,841.30/10,259.83
6. Step 6: Final answer
   x = 13,677.99