Finding the Fourth Proportional to 2,657.85, 3,667.82 and 1,538.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.85 : 3,667.82 = 1,538.79 : x
2. Step 2: Convert to fraction form
   2,657.85/3,667.82 = 1,538.79/x
3. Step 3: Cross multiply
   2,657.85x = 3,667.82 × 1,538.79
4. Step 4: Simplify right side
   2,657.85x = 5,643,997.04
5. Step 5: Solve for x
   x = 5,643,997.04/2,657.85
6. Step 6: Final answer
   x = 2,123.52