Finding the Fourth Proportional to 1,171.88, 1,758.42 and 586.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.88 : 1,758.42 = 586.94 : x
2. Step 2: Convert to fraction form
   1,171.88/1,758.42 = 586.94/x
3. Step 3: Cross multiply
   1,171.88x = 1,758.42 × 586.94
4. Step 4: Simplify right side
   1,171.88x = 1,032,087.03
5. Step 5: Solve for x
   x = 1,032,087.03/1,171.88
6. Step 6: Final answer
   x = 880.71