Finding the Fourth Proportional to 9,868.92, 13,618.86 and 5,677.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,868.92 : 13,618.86 = 5,677.56 : x
2. Step 2: Convert to fraction form
   9,868.92/13,618.86 = 5,677.56/x
3. Step 3: Cross multiply
   9,868.92x = 13,618.86 × 5,677.56
4. Step 4: Simplify right side
   9,868.92x = 77,321,894.78
5. Step 5: Solve for x
   x = 77,321,894.78/9,868.92
6. Step 6: Final answer
   x = 7,834.89