Finding the Fourth Proportional to 1,007.54, 1,390.25 and 587.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.54 : 1,390.25 = 587.83 : x
2. Step 2: Convert to fraction form
   1,007.54/1,390.25 = 587.83/x
3. Step 3: Cross multiply
   1,007.54x = 1,390.25 × 587.83
4. Step 4: Simplify right side
   1,007.54x = 817,220.77
5. Step 5: Solve for x
   x = 817,220.77/1,007.54
6. Step 6: Final answer
   x = 811.11