Finding the Fourth Proportional to 1,224.83, 1,834.78 and 565.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,224.83 : 1,834.78 = 565.78 : x
2. Step 2: Convert to fraction form
   1,224.83/1,834.78 = 565.78/x
3. Step 3: Cross multiply
   1,224.83x = 1,834.78 × 565.78
4. Step 4: Simplify right side
   1,224.83x = 1,038,081.83
5. Step 5: Solve for x
   x = 1,038,081.83/1,224.83
6. Step 6: Final answer
   x = 847.53