Finding the Fourth Proportional to 1,005.83, 1,388.04 and 563.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.83 : 1,388.04 = 563.73 : x
2. Step 2: Convert to fraction form
   1,005.83/1,388.04 = 563.73/x
3. Step 3: Cross multiply
   1,005.83x = 1,388.04 × 563.73
4. Step 4: Simplify right side
   1,005.83x = 782,479.79
5. Step 5: Solve for x
   x = 782,479.79/1,005.83
6. Step 6: Final answer
   x = 777.95