Finding the Fourth Proportional to 2,782.33, 3,839.46 and 1,523.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.33 : 3,839.46 = 1,523.32 : x
2. Step 2: Convert to fraction form
   2,782.33/3,839.46 = 1,523.32/x
3. Step 3: Cross multiply
   2,782.33x = 3,839.46 × 1,523.32
4. Step 4: Simplify right side
   2,782.33x = 5,848,726.21
5. Step 5: Solve for x
   x = 5,848,726.21/2,782.33
6. Step 6: Final answer
   x = 2,102.10