Finding the Fourth Proportional to 1,705.05, 2,553.02 and 1,085.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.05 : 2,553.02 = 1,085.40 : x
2. Step 2: Convert to fraction form
   1,705.05/2,553.02 = 1,085.40/x
3. Step 3: Cross multiply
   1,705.05x = 2,553.02 × 1,085.40
4. Step 4: Simplify right side
   1,705.05x = 2,771,046.55
5. Step 5: Solve for x
   x = 2,771,046.55/1,705.05
6. Step 6: Final answer
   x = 1,625.20