Finding the Fourth Proportional to 9,871.57, 13,623.18 and 5,679.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,871.57 : 13,623.18 = 5,679.82 : x
2. Step 2: Convert to fraction form
   9,871.57/13,623.18 = 5,679.82/x
3. Step 3: Cross multiply
   9,871.57x = 13,623.18 × 5,679.82
4. Step 4: Simplify right side
   9,871.57x = 77,377,210.23
5. Step 5: Solve for x
   x = 77,377,210.23/9,871.57
6. Step 6: Final answer
   x = 7,838.39