Finding the Fourth Proportional to 2,597.60, 3,584.52 and 1,478.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.60 : 3,584.52 = 1,478.66 : x
2. Step 2: Convert to fraction form
   2,597.60/3,584.52 = 1,478.66/x
3. Step 3: Cross multiply
   2,597.60x = 3,584.52 × 1,478.66
4. Step 4: Simplify right side
   2,597.60x = 5,300,268.42
5. Step 5: Solve for x
   x = 5,300,268.42/2,597.60
6. Step 6: Final answer
   x = 2,040.45