Finding the Fourth Proportional to 1,200.24, 1,799.57 and 469.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.24 : 1,799.57 = 469.89 : x
2. Step 2: Convert to fraction form
   1,200.24/1,799.57 = 469.89/x
3. Step 3: Cross multiply
   1,200.24x = 1,799.57 × 469.89
4. Step 4: Simplify right side
   1,200.24x = 845,597.60
5. Step 5: Solve for x
   x = 845,597.60/1,200.24
6. Step 6: Final answer
   x = 704.52