Finding the Fourth Proportional to 1,233.24, 1,848.50 and 501.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.24 : 1,848.50 = 501.96 : x
2. Step 2: Convert to fraction form
   1,233.24/1,848.50 = 501.96/x
3. Step 3: Cross multiply
   1,233.24x = 1,848.50 × 501.96
4. Step 4: Simplify right side
   1,233.24x = 927,870.55
5. Step 5: Solve for x
   x = 927,870.55/1,233.24
6. Step 6: Final answer
   x = 752.38