Finding the Fourth Proportional to 1,706.86, 2,355.87 and 1,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,706.86 : 2,355.87 = 1,085.50 : x
2. Step 2: Convert to fraction form
   1,706.86/2,355.87 = 1,085.50/x
3. Step 3: Cross multiply
   1,706.86x = 2,355.87 × 1,085.50
4. Step 4: Simplify right side
   1,706.86x = 2,557,296.89
5. Step 5: Solve for x
   x = 2,557,296.89/1,706.86
6. Step 6: Final answer
   x = 1,498.25