Finding the Fourth Proportional to 10,156.91, 14,016.74 and 5,680.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.91 : 14,016.74 = 5,680.17 : x
2. Step 2: Convert to fraction form
   10,156.91/14,016.74 = 5,680.17/x
3. Step 3: Cross multiply
   10,156.91x = 14,016.74 × 5,680.17
4. Step 4: Simplify right side
   10,156.91x = 79,617,437.64
5. Step 5: Solve for x
   x = 79,617,437.64/10,156.91
6. Step 6: Final answer
   x = 7,838.75