Finding the Fourth Proportional to 9,864.77, 13,613.33 and 5,616

Step by Step Solution

1. Step 1: Write the proportion equation
   9,864.77 : 13,613.33 = 5,616 : x
2. Step 2: Convert to fraction form
   9,864.77/13,613.33 = 5,616/x
3. Step 3: Cross multiply
   9,864.77x = 13,613.33 × 5,616
4. Step 4: Simplify right side
   9,864.77x = 76,452,475.32
5. Step 5: Solve for x
   x = 76,452,475.32/9,864.77
6. Step 6: Final answer
   x = 7,750.06