Finding the Fourth Proportional to 1,073.76, 1,610.86 and 586.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,073.76 : 1,610.86 = 586.69 : x
2. Step 2: Convert to fraction form
   1,073.76/1,610.86 = 586.69/x
3. Step 3: Cross multiply
   1,073.76x = 1,610.86 × 586.69
4. Step 4: Simplify right side
   1,073.76x = 945,081.77
5. Step 5: Solve for x
   x = 945,081.77/1,073.76
6. Step 6: Final answer
   x = 880.16