Finding the Fourth Proportional to 1,059.81, 1,462.61 and 587.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.81 : 1,462.61 = 587.72 : x
2. Step 2: Convert to fraction form
   1,059.81/1,462.61 = 587.72/x
3. Step 3: Cross multiply
   1,059.81x = 1,462.61 × 587.72
4. Step 4: Simplify right side
   1,059.81x = 859,605.15
5. Step 5: Solve for x
   x = 859,605.15/1,059.81
6. Step 6: Final answer
   x = 811.09