Finding the Fourth Proportional to 1,705.59, 2,557.78 and 1,158.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.59 : 2,557.78 = 1,158.23 : x
2. Step 2: Convert to fraction form
   1,705.59/2,557.78 = 1,158.23/x
3. Step 3: Cross multiply
   1,705.59x = 2,557.78 × 1,158.23
4. Step 4: Simplify right side
   1,705.59x = 2,962,501.03
5. Step 5: Solve for x
   x = 2,962,501.03/1,705.59
6. Step 6: Final answer
   x = 1,736.94