Finding the Fourth Proportional to 1,059.62, 1,462.30 and 587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.62 : 1,462.30 = 587.50 : x
2. Step 2: Convert to fraction form
   1,059.62/1,462.30 = 587.50/x
3. Step 3: Cross multiply
   1,059.62x = 1,462.30 × 587.50
4. Step 4: Simplify right side
   1,059.62x = 859,101.25
5. Step 5: Solve for x
   x = 859,101.25/1,059.62
6. Step 6: Final answer
   x = 810.76