Finding the Fourth Proportional to 857.98, 1,185.83 and 756.86

Step by Step Solution

1. Step 1: Write the proportion equation
   857.98 : 1,185.83 = 756.86 : x
2. Step 2: Convert to fraction form
   857.98/1,185.83 = 756.86/x
3. Step 3: Cross multiply
   857.98x = 1,185.83 × 756.86
4. Step 4: Simplify right side
   857.98x = 897,507.29
5. Step 5: Solve for x
   x = 897,507.29/857.98
6. Step 6: Final answer
   x = 1,046.07