Finding the Fourth Proportional to 1,200.15, 1,799.77 and 469.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.15 : 1,799.77 = 469.56 : x
2. Step 2: Convert to fraction form
   1,200.15/1,799.77 = 469.56/x
3. Step 3: Cross multiply
   1,200.15x = 1,799.77 × 469.56
4. Step 4: Simplify right side
   1,200.15x = 845,106.46
5. Step 5: Solve for x
   x = 845,106.46/1,200.15
6. Step 6: Final answer
   x = 704.17