Finding the Fourth Proportional to 2,741.76, 3,782.88 and 1,562.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,741.76 : 3,782.88 = 1,562.40 : x
2. Step 2: Convert to fraction form
   2,741.76/3,782.88 = 1,562.40/x
3. Step 3: Cross multiply
   2,741.76x = 3,782.88 × 1,562.40
4. Step 4: Simplify right side
   2,741.76x = 5,910,371.71
5. Step 5: Solve for x
   x = 5,910,371.71/2,741.76
6. Step 6: Final answer
   x = 2,155.69