Finding the Fourth Proportional to 2,657.64, 3,667.42 and 1,478.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.64 : 3,667.42 = 1,478.70 : x
2. Step 2: Convert to fraction form
   2,657.64/3,667.42 = 1,478.70/x
3. Step 3: Cross multiply
   2,657.64x = 3,667.42 × 1,478.70
4. Step 4: Simplify right side
   2,657.64x = 5,423,013.95
5. Step 5: Solve for x
   x = 5,423,013.95/2,657.64
6. Step 6: Final answer
   x = 2,040.54