Finding the Fourth Proportional to 2,782.85, 3,840.34 and 1,523.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.85 : 3,840.34 = 1,523.91 : x
2. Step 2: Convert to fraction form
   2,782.85/3,840.34 = 1,523.91/x
3. Step 3: Cross multiply
   2,782.85x = 3,840.34 × 1,523.91
4. Step 4: Simplify right side
   2,782.85x = 5,852,328.72
5. Step 5: Solve for x
   x = 5,852,328.72/2,782.85
6. Step 6: Final answer
   x = 2,103.00