Finding the Fourth Proportional to 2,657.74, 3,667.56 and 1,478.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.74 : 3,667.56 = 1,478.80 : x
2. Step 2: Convert to fraction form
   2,657.74/3,667.56 = 1,478.80/x
3. Step 3: Cross multiply
   2,657.74x = 3,667.56 × 1,478.80
4. Step 4: Simplify right side
   2,657.74x = 5,423,587.73
5. Step 5: Solve for x
   x = 5,423,587.73/2,657.74
6. Step 6: Final answer
   x = 2,040.68