Finding the Fourth Proportional to 1,059.82, 1,462.54 and 587.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.82 : 1,462.54 = 587.71 : x
2. Step 2: Convert to fraction form
   1,059.82/1,462.54 = 587.71/x
3. Step 3: Cross multiply
   1,059.82x = 1,462.54 × 587.71
4. Step 4: Simplify right side
   1,059.82x = 859,554.96
5. Step 5: Solve for x
   x = 859,554.96/1,059.82
6. Step 6: Final answer
   x = 811.04