Finding the Fourth Proportional to 1,005.91, 1,387.98 and 563.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.91 : 1,387.98 = 563.83 : x
2. Step 2: Convert to fraction form
   1,005.91/1,387.98 = 563.83/x
3. Step 3: Cross multiply
   1,005.91x = 1,387.98 × 563.83
4. Step 4: Simplify right side
   1,005.91x = 782,584.76
5. Step 5: Solve for x
   x = 782,584.76/1,005.91
6. Step 6: Final answer
   x = 777.99