Finding the Fourth Proportional to 2,584.48, 3,877.52 and 896.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.48 : 3,877.52 = 896.02 : x
2. Step 2: Convert to fraction form
   2,584.48/3,877.52 = 896.02/x
3. Step 3: Cross multiply
   2,584.48x = 3,877.52 × 896.02
4. Step 4: Simplify right side
   2,584.48x = 3,474,335.47
5. Step 5: Solve for x
   x = 3,474,335.47/2,584.48
6. Step 6: Final answer
   x = 1,344.31