Finding the Fourth Proportional to 1,582.94, 2,184.54 and 1,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.94 : 2,184.54 = 1,023.50 : x
2. Step 2: Convert to fraction form
   1,582.94/2,184.54 = 1,023.50/x
3. Step 3: Cross multiply
   1,582.94x = 2,184.54 × 1,023.50
4. Step 4: Simplify right side
   1,582.94x = 2,235,876.69
5. Step 5: Solve for x
   x = 2,235,876.69/1,582.94
6. Step 6: Final answer
   x = 1,412.48