Finding the Fourth Proportional to 1,059.90, 1,462.55 and 587.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.90 : 1,462.55 = 587.78 : x
2. Step 2: Convert to fraction form
   1,059.90/1,462.55 = 587.78/x
3. Step 3: Cross multiply
   1,059.90x = 1,462.55 × 587.78
4. Step 4: Simplify right side
   1,059.90x = 859,661.10
5. Step 5: Solve for x
   x = 859,661.10/1,059.90
6. Step 6: Final answer
   x = 811.08