Finding the Fourth Proportional to 10,156.56, 14,015.22 and 5,680.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.56 : 14,015.22 = 5,680.44 : x
2. Step 2: Convert to fraction form
   10,156.56/14,015.22 = 5,680.44/x
3. Step 3: Cross multiply
   10,156.56x = 14,015.22 × 5,680.44
4. Step 4: Simplify right side
   10,156.56x = 79,612,616.30
5. Step 5: Solve for x
   x = 79,612,616.30/10,156.56
6. Step 6: Final answer
   x = 7,838.54