Finding the Fourth Proportional to 1,200.56, 1,799.24 and 584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.56 : 1,799.24 = 584.50 : x
2. Step 2: Convert to fraction form
   1,200.56/1,799.24 = 584.50/x
3. Step 3: Cross multiply
   1,200.56x = 1,799.24 × 584.50
4. Step 4: Simplify right side
   1,200.56x = 1,051,655.78
5. Step 5: Solve for x
   x = 1,051,655.78/1,200.56
6. Step 6: Final answer
   x = 875.97