Finding the Fourth Proportional to 1,200.72, 1,799.64 and 469.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.72 : 1,799.64 = 469.92 : x
2. Step 2: Convert to fraction form
   1,200.72/1,799.64 = 469.92/x
3. Step 3: Cross multiply
   1,200.72x = 1,799.64 × 469.92
4. Step 4: Simplify right side
   1,200.72x = 845,686.83
5. Step 5: Solve for x
   x = 845,686.83/1,200.72
6. Step 6: Final answer
   x = 704.32