Finding the Fourth Proportional to 9,868.02, 13,616.55 and 5,675.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,868.02 : 13,616.55 = 5,675.46 : x
2. Step 2: Convert to fraction form
   9,868.02/13,616.55 = 5,675.46/x
3. Step 3: Cross multiply
   9,868.02x = 13,616.55 × 5,675.46
4. Step 4: Simplify right side
   9,868.02x = 77,280,184.86
5. Step 5: Solve for x
   x = 77,280,184.86/9,868.02
6. Step 6: Final answer
   x = 7,831.38