Finding the Fourth Proportional to 2,782.42, 3,839.71 and 1,523.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.42 : 3,839.71 = 1,523.47 : x
2. Step 2: Convert to fraction form
   2,782.42/3,839.71 = 1,523.47/x
3. Step 3: Cross multiply
   2,782.42x = 3,839.71 × 1,523.47
4. Step 4: Simplify right side
   2,782.42x = 5,849,663.80
5. Step 5: Solve for x
   x = 5,849,663.80/2,782.42
6. Step 6: Final answer
   x = 2,102.37