Finding the Fourth Proportional to 2,657.34, 3,666.41 and 1,538.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.34 : 3,666.41 = 1,538.07 : x
2. Step 2: Convert to fraction form
   2,657.34/3,666.41 = 1,538.07/x
3. Step 3: Cross multiply
   2,657.34x = 3,666.41 × 1,538.07
4. Step 4: Simplify right side
   2,657.34x = 5,639,187.54
5. Step 5: Solve for x
   x = 5,639,187.54/2,657.34
6. Step 6: Final answer
   x = 2,122.12