Finding the Fourth Proportional to 2,781.50, 3,838.59 and 1,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781.50 : 3,838.59 = 1,539.50 : x
2. Step 2: Convert to fraction form
   2,781.50/3,838.59 = 1,539.50/x
3. Step 3: Cross multiply
   2,781.50x = 3,838.59 × 1,539.50
4. Step 4: Simplify right side
   2,781.50x = 5,909,509.31
5. Step 5: Solve for x
   x = 5,909,509.31/2,781.50
6. Step 6: Final answer
   x = 2,124.58