Finding the Fourth Proportional to 2,657.68, 3,667.33 and 1,538.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.68 : 3,667.33 = 1,538.39 : x
2. Step 2: Convert to fraction form
   2,657.68/3,667.33 = 1,538.39/x
3. Step 3: Cross multiply
   2,657.68x = 3,667.33 × 1,538.39
4. Step 4: Simplify right side
   2,657.68x = 5,641,783.80
5. Step 5: Solve for x
   x = 5,641,783.80/2,657.68
6. Step 6: Final answer
   x = 2,122.82