Finding the Fourth Proportional to 2,657.46, 3,667.36 and 1,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.46 : 3,667.36 = 1,538.50 : x
2. Step 2: Convert to fraction form
   2,657.46/3,667.36 = 1,538.50/x
3. Step 3: Cross multiply
   2,657.46x = 3,667.36 × 1,538.50
4. Step 4: Simplify right side
   2,657.46x = 5,642,233.36
5. Step 5: Solve for x
   x = 5,642,233.36/2,657.46
6. Step 6: Final answer
   x = 2,123.17