Finding the Fourth Proportional to 2,641.62, 3,957.14 and 1,256.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.62 : 3,957.14 = 1,256.30 : x
2. Step 2: Convert to fraction form
   2,641.62/3,957.14 = 1,256.30/x
3. Step 3: Cross multiply
   2,641.62x = 3,957.14 × 1,256.30
4. Step 4: Simplify right side
   2,641.62x = 4,971,328.91
5. Step 5: Solve for x
   x = 4,971,328.91/2,641.62
6. Step 6: Final answer
   x = 1,881.92