Finding the Fourth Proportional to 1,705.83, 2,557.89 and 610.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.83 : 2,557.89 = 610.02 : x
2. Step 2: Convert to fraction form
   1,705.83/2,557.89 = 610.02/x
3. Step 3: Cross multiply
   1,705.83x = 2,557.89 × 610.02
4. Step 4: Simplify right side
   1,705.83x = 1,560,364.06
5. Step 5: Solve for x
   x = 1,560,364.06/1,705.83
6. Step 6: Final answer
   x = 914.72