Finding the Fourth Proportional to 9,152.56, 13,728.60 and 2,578.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152.56 : 13,728.60 = 2,578.72 : x
2. Step 2: Convert to fraction form
   9,152.56/13,728.60 = 2,578.72/x
3. Step 3: Cross multiply
   9,152.56x = 13,728.60 × 2,578.72
4. Step 4: Simplify right side
   9,152.56x = 35,402,215.39
5. Step 5: Solve for x
   x = 35,402,215.39/9,152.56
6. Step 6: Final answer
   x = 3,868.01