Finding the Fourth Proportional to 2,538, 3,503.81 and 1,594.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538 : 3,503.81 = 1,594.08 : x
2. Step 2: Convert to fraction form
   2,538/3,503.81 = 1,594.08/x
3. Step 3: Cross multiply
   2,538x = 3,503.81 × 1,594.08
4. Step 4: Simplify right side
   2,538x = 5,585,345.47
5. Step 5: Solve for x
   x = 5,585,345.47/2,538
6. Step 6: Final answer
   x = 2,200.69