Finding the Fourth Proportional to 2,782.50, 4,173.62 and 2,411.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.50 : 4,173.62 = 2,411.06 : x
2. Step 2: Convert to fraction form
   2,782.50/4,173.62 = 2,411.06/x
3. Step 3: Cross multiply
   2,782.50x = 4,173.62 × 2,411.06
4. Step 4: Simplify right side
   2,782.50x = 10,062,815.31
5. Step 5: Solve for x
   x = 10,062,815.31/2,782.50
6. Step 6: Final answer
   x = 3,616.47