Finding the Fourth Proportional to 1,747.50, 2,411.55 and 1,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747.50 : 2,411.55 = 1,011.50 : x
2. Step 2: Convert to fraction form
   1,747.50/2,411.55 = 1,011.50/x
3. Step 3: Cross multiply
   1,747.50x = 2,411.55 × 1,011.50
4. Step 4: Simplify right side
   1,747.50x = 2,439,282.83
5. Step 5: Solve for x
   x = 2,439,282.83/1,747.50
6. Step 6: Final answer
   x = 1,395.87