Finding the Fourth Proportional to 2,596.86, 3,584.34 and 1,478.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.86 : 3,584.34 = 1,478.43 : x
2. Step 2: Convert to fraction form
   2,596.86/3,584.34 = 1,478.43/x
3. Step 3: Cross multiply
   2,596.86x = 3,584.34 × 1,478.43
4. Step 4: Simplify right side
   2,596.86x = 5,299,195.79
5. Step 5: Solve for x
   x = 5,299,195.79/2,596.86
6. Step 6: Final answer
   x = 2,040.62