Finding the Fourth Proportional to 10,156.48, 14,015.52 and 5,680.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.48 : 14,015.52 = 5,680.16 : x
2. Step 2: Convert to fraction form
   10,156.48/14,015.52 = 5,680.16/x
3. Step 3: Cross multiply
   10,156.48x = 14,015.52 × 5,680.16
4. Step 4: Simplify right side
   10,156.48x = 79,610,396.08
5. Step 5: Solve for x
   x = 79,610,396.08/10,156.48
6. Step 6: Final answer
   x = 7,838.38