Finding the Fourth Proportional to 2,785.50, 3,844.26 and 1,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.50 : 3,844.26 = 1,543.50 : x
2. Step 2: Convert to fraction form
   2,785.50/3,844.26 = 1,543.50/x
3. Step 3: Cross multiply
   2,785.50x = 3,844.26 × 1,543.50
4. Step 4: Simplify right side
   2,785.50x = 5,933,615.31
5. Step 5: Solve for x
   x = 5,933,615.31/2,785.50
6. Step 6: Final answer
   x = 2,130.18