Finding the Fourth Proportional to 10,156.61, 14,017.42 and 5,680.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.61 : 14,017.42 = 5,680.61 : x
2. Step 2: Convert to fraction form
   10,156.61/14,017.42 = 5,680.61/x
3. Step 3: Cross multiply
   10,156.61x = 14,017.42 × 5,680.61
4. Step 4: Simplify right side
   10,156.61x = 79,627,496.23
5. Step 5: Solve for x
   x = 79,627,496.23/10,156.61
6. Step 6: Final answer
   x = 7,839.97