Finding the Fourth Proportional to 10,880.50, 16,238.54 and 9,830.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,880.50 : 16,238.54 = 9,830.74 : x
2. Step 2: Convert to fraction form
   10,880.50/16,238.54 = 9,830.74/x
3. Step 3: Cross multiply
   10,880.50x = 16,238.54 × 9,830.74
4. Step 4: Simplify right side
   10,880.50x = 159,636,864.72
5. Step 5: Solve for x
   x = 159,636,864.72/10,880.50
6. Step 6: Final answer
   x = 14,671.83