Finding the Fourth Proportional to 2,047.92, 2,824.02 and 1,823.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.92 : 2,824.02 = 1,823.10 : x
2. Step 2: Convert to fraction form
   2,047.92/2,824.02 = 1,823.10/x
3. Step 3: Cross multiply
   2,047.92x = 2,824.02 × 1,823.10
4. Step 4: Simplify right side
   2,047.92x = 5,148,470.86
5. Step 5: Solve for x
   x = 5,148,470.86/2,047.92
6. Step 6: Final answer
   x = 2,514.00