Finding the Fourth Proportional to 2,657.48, 3,667.60 and 1,538.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.48 : 3,667.60 = 1,538.37 : x
2. Step 2: Convert to fraction form
   2,657.48/3,667.60 = 1,538.37/x
3. Step 3: Cross multiply
   2,657.48x = 3,667.60 × 1,538.37
4. Step 4: Simplify right side
   2,657.48x = 5,642,121.75
5. Step 5: Solve for x
   x = 5,642,121.75/2,657.48
6. Step 6: Final answer
   x = 2,123.11