Finding the Fourth Proportional to 2,461.86, 3,397.82 and 1,578.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.86 : 3,397.82 = 1,578.02 : x
2. Step 2: Convert to fraction form
   2,461.86/3,397.82 = 1,578.02/x
3. Step 3: Cross multiply
   2,461.86x = 3,397.82 × 1,578.02
4. Step 4: Simplify right side
   2,461.86x = 5,361,803.04
5. Step 5: Solve for x
   x = 5,361,803.04/2,461.86
6. Step 6: Final answer
   x = 2,177.95