Finding the Fourth Proportional to 1,224.83, 1,837.86 and 762.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,224.83 : 1,837.86 = 762.49 : x
2. Step 2: Convert to fraction form
   1,224.83/1,837.86 = 762.49/x
3. Step 3: Cross multiply
   1,224.83x = 1,837.86 × 762.49
4. Step 4: Simplify right side
   1,224.83x = 1,401,349.31
5. Step 5: Solve for x
   x = 1,401,349.31/1,224.83
6. Step 6: Final answer
   x = 1,144.12