Finding the Fourth Proportional to 1,365.82, 2,048.72 and 500.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.82 : 2,048.72 = 500.12 : x
2. Step 2: Convert to fraction form
   1,365.82/2,048.72 = 500.12/x
3. Step 3: Cross multiply
   1,365.82x = 2,048.72 × 500.12
4. Step 4: Simplify right side
   1,365.82x = 1,024,605.85
5. Step 5: Solve for x
   x = 1,024,605.85/1,365.82
6. Step 6: Final answer
   x = 750.18