Finding the Fourth Proportional to 1,005.83, 1,387.84 and 726.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.83 : 1,387.84 = 726.48 : x
2. Step 2: Convert to fraction form
   1,005.83/1,387.84 = 726.48/x
3. Step 3: Cross multiply
   1,005.83x = 1,387.84 × 726.48
4. Step 4: Simplify right side
   1,005.83x = 1,008,238.00
5. Step 5: Solve for x
   x = 1,008,238.00/1,005.83
6. Step 6: Final answer
   x = 1,002.39