Finding the Fourth Proportional to 2,782.38, 3,839.76 and 1,523.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.38 : 3,839.76 = 1,523.49 : x
2. Step 2: Convert to fraction form
   2,782.38/3,839.76 = 1,523.49/x
3. Step 3: Cross multiply
   2,782.38x = 3,839.76 × 1,523.49
4. Step 4: Simplify right side
   2,782.38x = 5,849,835.96
5. Step 5: Solve for x
   x = 5,849,835.96/2,782.38
6. Step 6: Final answer
   x = 2,102.46