Finding the Fourth Proportional to 1,171.60, 1,756.72 and 586.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.60 : 1,756.72 = 586.72 : x
2. Step 2: Convert to fraction form
   1,171.60/1,756.72 = 586.72/x
3. Step 3: Cross multiply
   1,171.60x = 1,756.72 × 586.72
4. Step 4: Simplify right side
   1,171.60x = 1,030,702.76
5. Step 5: Solve for x
   x = 1,030,702.76/1,171.60
6. Step 6: Final answer
   x = 879.74