Finding the Fourth Proportional to 2,385.50, 3,578.10 and 1,461.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.50 : 3,578.10 = 1,461.19 : x
2. Step 2: Convert to fraction form
   2,385.50/3,578.10 = 1,461.19/x
3. Step 3: Cross multiply
   2,385.50x = 3,578.10 × 1,461.19
4. Step 4: Simplify right side
   2,385.50x = 5,228,280.33
5. Step 5: Solve for x
   x = 5,228,280.33/2,385.50
6. Step 6: Final answer
   x = 2,191.69