Finding the Fourth Proportional to 10,616.46, 14,650.50 and 5,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616.46 : 14,650.50 = 5,836.50 : x
2. Step 2: Convert to fraction form
   10,616.46/14,650.50 = 5,836.50/x
3. Step 3: Cross multiply
   10,616.46x = 14,650.50 × 5,836.50
4. Step 4: Simplify right side
   10,616.46x = 85,507,643.25
5. Step 5: Solve for x
   x = 85,507,643.25/10,616.46
6. Step 6: Final answer
   x = 8,054.25