Finding the Fourth Proportional to 1,200.02, 1,798.61 and 506.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.02 : 1,798.61 = 506.25 : x
2. Step 2: Convert to fraction form
   1,200.02/1,798.61 = 506.25/x
3. Step 3: Cross multiply
   1,200.02x = 1,798.61 × 506.25
4. Step 4: Simplify right side
   1,200.02x = 910,543.78
5. Step 5: Solve for x
   x = 910,543.78/1,200.02
6. Step 6: Final answer
   x = 758.78