Finding the Fourth Proportional to 2,507.58, 3,761.40 and 864.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.58 : 3,761.40 = 864.12 : x
2. Step 2: Convert to fraction form
   2,507.58/3,761.40 = 864.12/x
3. Step 3: Cross multiply
   2,507.58x = 3,761.40 × 864.12
4. Step 4: Simplify right side
   2,507.58x = 3,250,300.97
5. Step 5: Solve for x
   x = 3,250,300.97/2,507.58
6. Step 6: Final answer
   x = 1,296.19