Finding the Fourth Proportional to 10,153.76, 14,012.28 and 5,616.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,153.76 : 14,012.28 = 5,616.38 : x
2. Step 2: Convert to fraction form
   10,153.76/14,012.28 = 5,616.38/x
3. Step 3: Cross multiply
   10,153.76x = 14,012.28 × 5,616.38
4. Step 4: Simplify right side
   10,153.76x = 78,698,324.18
5. Step 5: Solve for x
   x = 78,698,324.18/10,153.76
6. Step 6: Final answer
   x = 7,750.66