Finding the Fourth Proportional to 1,346.58, 2,019.42 and 826.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.58 : 2,019.42 = 826.56 : x
2. Step 2: Convert to fraction form
   1,346.58/2,019.42 = 826.56/x
3. Step 3: Cross multiply
   1,346.58x = 2,019.42 × 826.56
4. Step 4: Simplify right side
   1,346.58x = 1,669,171.80
5. Step 5: Solve for x
   x = 1,669,171.80/1,346.58
6. Step 6: Final answer
   x = 1,239.56