Finding the Fourth Proportional to 1,505.98, 2,259.38 and 857.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.98 : 2,259.38 = 857.17 : x
2. Step 2: Convert to fraction form
   1,505.98/2,259.38 = 857.17/x
3. Step 3: Cross multiply
   1,505.98x = 2,259.38 × 857.17
4. Step 4: Simplify right side
   1,505.98x = 1,936,672.75
5. Step 5: Solve for x
   x = 1,936,672.75/1,505.98
6. Step 6: Final answer
   x = 1,285.99