Finding the Fourth Proportional to 1,782.84, 2,462.25 and 1,224.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.84 : 2,462.25 = 1,224.78 : x
2. Step 2: Convert to fraction form
   1,782.84/2,462.25 = 1,224.78/x
3. Step 3: Cross multiply
   1,782.84x = 2,462.25 × 1,224.78
4. Step 4: Simplify right side
   1,782.84x = 3,015,714.56
5. Step 5: Solve for x
   x = 3,015,714.56/1,782.84
6. Step 6: Final answer
   x = 1,691.52