Finding the Fourth Proportional to 2,538.57, 3,789.47 and 2,194.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.57 : 3,789.47 = 2,194.12 : x
2. Step 2: Convert to fraction form
   2,538.57/3,789.47 = 2,194.12/x
3. Step 3: Cross multiply
   2,538.57x = 3,789.47 × 2,194.12
4. Step 4: Simplify right side
   2,538.57x = 8,314,531.47
5. Step 5: Solve for x
   x = 8,314,531.47/2,538.57
6. Step 6: Final answer
   x = 3,275.28