Finding the Fourth Proportional to 2,747.50, 3,791.61 and 1,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,747.50 : 3,791.61 = 1,505.50 : x
2. Step 2: Convert to fraction form
   2,747.50/3,791.61 = 1,505.50/x
3. Step 3: Cross multiply
   2,747.50x = 3,791.61 × 1,505.50
4. Step 4: Simplify right side
   2,747.50x = 5,708,268.86
5. Step 5: Solve for x
   x = 5,708,268.86/2,747.50
6. Step 6: Final answer
   x = 2,077.62