Finding the Fourth Proportional to 2,782.02, 3,839.28 and 1,523.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.02 : 3,839.28 = 1,523.10 : x
2. Step 2: Convert to fraction form
   2,782.02/3,839.28 = 1,523.10/x
3. Step 3: Cross multiply
   2,782.02x = 3,839.28 × 1,523.10
4. Step 4: Simplify right side
   2,782.02x = 5,847,607.37
5. Step 5: Solve for x
   x = 5,847,607.37/2,782.02
6. Step 6: Final answer
   x = 2,101.93