Finding the Fourth Proportional to 2,538.72, 3,807.51 and 872.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.72 : 3,807.51 = 872.65 : x
2. Step 2: Convert to fraction form
   2,538.72/3,807.51 = 872.65/x
3. Step 3: Cross multiply
   2,538.72x = 3,807.51 × 872.65
4. Step 4: Simplify right side
   2,538.72x = 3,322,623.60
5. Step 5: Solve for x
   x = 3,322,623.60/2,538.72
6. Step 6: Final answer
   x = 1,308.78