Finding the Fourth Proportional to 2,657.56, 3,667.08 and 1,538.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.56 : 3,667.08 = 1,538.52 : x
2. Step 2: Convert to fraction form
   2,657.56/3,667.08 = 1,538.52/x
3. Step 3: Cross multiply
   2,657.56x = 3,667.08 × 1,538.52
4. Step 4: Simplify right side
   2,657.56x = 5,641,875.92
5. Step 5: Solve for x
   x = 5,641,875.92/2,657.56
6. Step 6: Final answer
   x = 2,122.95