Finding the Fourth Proportional to 2,657.96, 3,668.11 and 1,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.96 : 3,668.11 = 1,538.69 : x
2. Step 2: Convert to fraction form
   2,657.96/3,668.11 = 1,538.69/x
3. Step 3: Cross multiply
   2,657.96x = 3,668.11 × 1,538.69
4. Step 4: Simplify right side
   2,657.96x = 5,644,089.50
5. Step 5: Solve for x
   x = 5,644,089.50/2,657.96
6. Step 6: Final answer
   x = 2,123.47