Finding the Fourth Proportional to 10,116.54, 15,177.56 and 5,737.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.54 : 15,177.56 = 5,737.10 : x
2. Step 2: Convert to fraction form
   10,116.54/15,177.56 = 5,737.10/x
3. Step 3: Cross multiply
   10,116.54x = 15,177.56 × 5,737.10
4. Step 4: Simplify right side
   10,116.54x = 87,075,074.90
5. Step 5: Solve for x
   x = 87,075,074.90/10,116.54
6. Step 6: Final answer
   x = 8,607.20