Finding the Fourth Proportional to 2,657.34, 3,667.07 and 1,538.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.34 : 3,667.07 = 1,538.33 : x
2. Step 2: Convert to fraction form
   2,657.34/3,667.07 = 1,538.33/x
3. Step 3: Cross multiply
   2,657.34x = 3,667.07 × 1,538.33
4. Step 4: Simplify right side
   2,657.34x = 5,641,149.30
5. Step 5: Solve for x
   x = 5,641,149.30/2,657.34
6. Step 6: Final answer
   x = 2,122.86