Finding the Fourth Proportional to 10,616, 14,650.10 and 5,901.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616 : 14,650.10 = 5,901.40 : x
2. Step 2: Convert to fraction form
   10,616/14,650.10 = 5,901.40/x
3. Step 3: Cross multiply
   10,616x = 14,650.10 × 5,901.40
4. Step 4: Simplify right side
   10,616x = 86,456,100.14
5. Step 5: Solve for x
   x = 86,456,100.14/10,616
6. Step 6: Final answer
   x = 8,143.94