Finding the Fourth Proportional to 9,865.77, 13,614.71 and 5,617

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865.77 : 13,614.71 = 5,617 : x
2. Step 2: Convert to fraction form
   9,865.77/13,614.71 = 5,617/x
3. Step 3: Cross multiply
   9,865.77x = 13,614.71 × 5,617
4. Step 4: Simplify right side
   9,865.77x = 76,473,826.07
5. Step 5: Solve for x
   x = 76,473,826.07/9,865.77
6. Step 6: Final answer
   x = 7,751.43