Finding the Fourth Proportional to 2,782.24, 3,838.32 and 2,360.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.24 : 3,838.32 = 2,360.80 : x
2. Step 2: Convert to fraction form
   2,782.24/3,838.32 = 2,360.80/x
3. Step 3: Cross multiply
   2,782.24x = 3,838.32 × 2,360.80
4. Step 4: Simplify right side
   2,782.24x = 9,061,505.86
5. Step 5: Solve for x
   x = 9,061,505.86/2,782.24
6. Step 6: Final answer
   x = 3,256.91