Finding the Fourth Proportional to 1,200.12, 1,799.82 and 469.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.12 : 1,799.82 = 469.52 : x
2. Step 2: Convert to fraction form
   1,200.12/1,799.82 = 469.52/x
3. Step 3: Cross multiply
   1,200.12x = 1,799.82 × 469.52
4. Step 4: Simplify right side
   1,200.12x = 845,051.49
5. Step 5: Solve for x
   x = 845,051.49/1,200.12
6. Step 6: Final answer
   x = 704.14