Finding the Fourth Proportional to 10,156.86, 14,017.02 and 5,680.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.86 : 14,017.02 = 5,680.62 : x
2. Step 2: Convert to fraction form
   10,156.86/14,017.02 = 5,680.62/x
3. Step 3: Cross multiply
   10,156.86x = 14,017.02 × 5,680.62
4. Step 4: Simplify right side
   10,156.86x = 79,625,364.15
5. Step 5: Solve for x
   x = 79,625,364.15/10,156.86
6. Step 6: Final answer
   x = 7,839.56