Finding the Fourth Proportional to 2,478.51, 3,420.71 and 1,582.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.51 : 3,420.71 = 1,582.62 : x
2. Step 2: Convert to fraction form
   2,478.51/3,420.71 = 1,582.62/x
3. Step 3: Cross multiply
   2,478.51x = 3,420.71 × 1,582.62
4. Step 4: Simplify right side
   2,478.51x = 5,413,676.15
5. Step 5: Solve for x
   x = 5,413,676.15/2,478.51
6. Step 6: Final answer
   x = 2,184.25