Finding the Fourth Proportional to 9,868.32, 13,618.68 and 5,676.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,868.32 : 13,618.68 = 5,676.57 : x
2. Step 2: Convert to fraction form
   9,868.32/13,618.68 = 5,676.57/x
3. Step 3: Cross multiply
   9,868.32x = 13,618.68 × 5,676.57
4. Step 4: Simplify right side
   9,868.32x = 77,307,390.33
5. Step 5: Solve for x
   x = 77,307,390.33/9,868.32
6. Step 6: Final answer
   x = 7,833.90