Finding the Fourth Proportional to 2,657.34, 3,667.06 and 1,538.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.34 : 3,667.06 = 1,538.12 : x
2. Step 2: Convert to fraction form
   2,657.34/3,667.06 = 1,538.12/x
3. Step 3: Cross multiply
   2,657.34x = 3,667.06 × 1,538.12
4. Step 4: Simplify right side
   2,657.34x = 5,640,370.64
5. Step 5: Solve for x
   x = 5,640,370.64/2,657.34
6. Step 6: Final answer
   x = 2,122.57