Finding the Fourth Proportional to 2,740.50, 3,782.57 and 1,562.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,740.50 : 3,782.57 = 1,562.25 : x
2. Step 2: Convert to fraction form
   2,740.50/3,782.57 = 1,562.25/x
3. Step 3: Cross multiply
   2,740.50x = 3,782.57 × 1,562.25
4. Step 4: Simplify right side
   2,740.50x = 5,909,326.36
5. Step 5: Solve for x
   x = 5,909,326.36/2,740.50
6. Step 6: Final answer
   x = 2,156.29