Finding the Fourth Proportional to 1,705.50, 2,557.98 and 781.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.50 : 2,557.98 = 781.02 : x
2. Step 2: Convert to fraction form
   1,705.50/2,557.98 = 781.02/x
3. Step 3: Cross multiply
   1,705.50x = 2,557.98 × 781.02
4. Step 4: Simplify right side
   1,705.50x = 1,997,833.54
5. Step 5: Solve for x
   x = 1,997,833.54/1,705.50
6. Step 6: Final answer
   x = 1,171.41