Finding the Fourth Proportional to 2,657.60, 3,667.20 and 1,538.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.60 : 3,667.20 = 1,538.88 : x
2. Step 2: Convert to fraction form
   2,657.60/3,667.20 = 1,538.88/x
3. Step 3: Cross multiply
   2,657.60x = 3,667.20 × 1,538.88
4. Step 4: Simplify right side
   2,657.60x = 5,643,380.74
5. Step 5: Solve for x
   x = 5,643,380.74/2,657.60
6. Step 6: Final answer
   x = 2,123.49