Finding the Fourth Proportional to 10,298.72, 15,448.16 and 2,507.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.72 : 15,448.16 = 2,507.60 : x
2. Step 2: Convert to fraction form
   10,298.72/15,448.16 = 2,507.60/x
3. Step 3: Cross multiply
   10,298.72x = 15,448.16 × 2,507.60
4. Step 4: Simplify right side
   10,298.72x = 38,737,806.02
5. Step 5: Solve for x
   x = 38,737,806.02/10,298.72
6. Step 6: Final answer
   x = 3,761.42