Finding the Fourth Proportional to 2,657.39, 3,667.48 and 1,538.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.39 : 3,667.48 = 1,538.30 : x
2. Step 2: Convert to fraction form
   2,657.39/3,667.48 = 1,538.30/x
3. Step 3: Cross multiply
   2,657.39x = 3,667.48 × 1,538.30
4. Step 4: Simplify right side
   2,657.39x = 5,641,689.81
5. Step 5: Solve for x
   x = 5,641,689.81/2,657.39
6. Step 6: Final answer
   x = 2,123.02