Finding the Fourth Proportional to 10,616.64, 14,651.46 and 5,901

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616.64 : 14,651.46 = 5,901 : x
2. Step 2: Convert to fraction form
   10,616.64/14,651.46 = 5,901/x
3. Step 3: Cross multiply
   10,616.64x = 14,651.46 × 5,901
4. Step 4: Simplify right side
   10,616.64x = 86,458,265.46
5. Step 5: Solve for x
   x = 86,458,265.46/10,616.64
6. Step 6: Final answer
   x = 8,143.66