Finding the Fourth Proportional to 2,047.56, 2,824.89 and 1,162.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.56 : 2,824.89 = 1,162.86 : x
2. Step 2: Convert to fraction form
   2,047.56/2,824.89 = 1,162.86/x
3. Step 3: Cross multiply
   2,047.56x = 2,824.89 × 1,162.86
4. Step 4: Simplify right side
   2,047.56x = 3,284,951.59
5. Step 5: Solve for x
   x = 3,284,951.59/2,047.56
6. Step 6: Final answer
   x = 1,604.32