Finding the Fourth Proportional to 3,865.50, 5,793.50 and 1,782.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,865.50 : 5,793.50 = 1,782.61 : x
2. Step 2: Convert to fraction form
   3,865.50/5,793.50 = 1,782.61/x
3. Step 3: Cross multiply
   3,865.50x = 5,793.50 × 1,782.61
4. Step 4: Simplify right side
   3,865.50x = 10,327,551.59
5. Step 5: Solve for x
   x = 10,327,551.59/3,865.50
6. Step 6: Final answer
   x = 2,671.73