Finding the Fourth Proportional to 1,200.38, 1,801.27 and 507.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.38 : 1,801.27 = 507.00 : x
2. Step 2: Convert to fraction form
   1,200.38/1,801.27 = 507.00/x
3. Step 3: Cross multiply
   1,200.38x = 1,801.27 × 507.00
4. Step 4: Simplify right side
   1,200.38x = 913,241.15
5. Step 5: Solve for x
   x = 913,241.15/1,200.38
6. Step 6: Final answer
   x = 760.80