Finding the Fourth Proportional to 1,705.91, 2,555.46 and 1,314.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.91 : 2,555.46 = 1,314.54 : x
2. Step 2: Convert to fraction form
   1,705.91/2,555.46 = 1,314.54/x
3. Step 3: Cross multiply
   1,705.91x = 2,555.46 × 1,314.54
4. Step 4: Simplify right side
   1,705.91x = 3,359,254.39
5. Step 5: Solve for x
   x = 3,359,254.39/1,705.91
6. Step 6: Final answer
   x = 1,969.19