Finding the Fourth Proportional to 1,582.83, 2,363.13 and 1,427.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.83 : 2,363.13 = 1,427.31 : x
2. Step 2: Convert to fraction form
   1,582.83/2,363.13 = 1,427.31/x
3. Step 3: Cross multiply
   1,582.83x = 2,363.13 × 1,427.31
4. Step 4: Simplify right side
   1,582.83x = 3,372,919.08
5. Step 5: Solve for x
   x = 3,372,919.08/1,582.83
6. Step 6: Final answer
   x = 2,130.94