Finding the Fourth Proportional to 10,158.26, 14,017.14 and 5,680.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.26 : 14,017.14 = 5,680.89 : x
2. Step 2: Convert to fraction form
   10,158.26/14,017.14 = 5,680.89/x
3. Step 3: Cross multiply
   10,158.26x = 14,017.14 × 5,680.89
4. Step 4: Simplify right side
   10,158.26x = 79,629,830.45
5. Step 5: Solve for x
   x = 79,629,830.45/10,158.26
6. Step 6: Final answer
   x = 7,838.92