Finding the Fourth Proportional to 2,587.40, 3,880.71 and 832.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,587.40 : 3,880.71 = 832.16 : x
2. Step 2: Convert to fraction form
   2,587.40/3,880.71 = 832.16/x
3. Step 3: Cross multiply
   2,587.40x = 3,880.71 × 832.16
4. Step 4: Simplify right side
   2,587.40x = 3,229,381.34
5. Step 5: Solve for x
   x = 3,229,381.34/2,587.40
6. Step 6: Final answer
   x = 1,248.12