Finding the Fourth Proportional to 1,200.25, 1,799.00 and 505.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.25 : 1,799.00 = 505.88 : x
2. Step 2: Convert to fraction form
   1,200.25/1,799.00 = 505.88/x
3. Step 3: Cross multiply
   1,200.25x = 1,799.00 × 505.88
4. Step 4: Simplify right side
   1,200.25x = 910,066.60
5. Step 5: Solve for x
   x = 910,066.60/1,200.25
6. Step 6: Final answer
   x = 758.23