Finding the Fourth Proportional to 2,641.02, 3,962.12 and 1,407.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,641.02 : 3,962.12 = 1,407.78 : x
2. Step 2: Convert to fraction form
   2,641.02/3,962.12 = 1,407.78/x
3. Step 3: Cross multiply
   2,641.02x = 3,962.12 × 1,407.78
4. Step 4: Simplify right side
   2,641.02x = 5,577,793.29
5. Step 5: Solve for x
   x = 5,577,793.29/2,641.02
6. Step 6: Final answer
   x = 2,111.98