Finding the Fourth Proportional to 2,657.94, 3,666.78 and 1,538.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.94 : 3,666.78 = 1,538.52 : x
2. Step 2: Convert to fraction form
   2,657.94/3,666.78 = 1,538.52/x
3. Step 3: Cross multiply
   2,657.94x = 3,666.78 × 1,538.52
4. Step 4: Simplify right side
   2,657.94x = 5,641,414.37
5. Step 5: Solve for x
   x = 5,641,414.37/2,657.94
6. Step 6: Final answer
   x = 2,122.48