Finding the Fourth Proportional to 1,346.43, 2,018.57 and 825.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.43 : 2,018.57 = 825.63 : x
2. Step 2: Convert to fraction form
   1,346.43/2,018.57 = 825.63/x
3. Step 3: Cross multiply
   1,346.43x = 2,018.57 × 825.63
4. Step 4: Simplify right side
   1,346.43x = 1,666,587.82
5. Step 5: Solve for x
   x = 1,666,587.82/1,346.43
6. Step 6: Final answer
   x = 1,237.78