Finding the Fourth Proportional to 1,200.74, 1,798.71 and 550.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.74 : 1,798.71 = 550.58 : x
2. Step 2: Convert to fraction form
   1,200.74/1,798.71 = 550.58/x
3. Step 3: Cross multiply
   1,200.74x = 1,798.71 × 550.58
4. Step 4: Simplify right side
   1,200.74x = 990,333.75
5. Step 5: Solve for x
   x = 990,333.75/1,200.74
6. Step 6: Final answer
   x = 824.77