Finding the Fourth Proportional to 1,005.93, 1,388.16 and 563.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.93 : 1,388.16 = 563.82 : x
2. Step 2: Convert to fraction form
   1,005.93/1,388.16 = 563.82/x
3. Step 3: Cross multiply
   1,005.93x = 1,388.16 × 563.82
4. Step 4: Simplify right side
   1,005.93x = 782,672.37
5. Step 5: Solve for x
   x = 782,672.37/1,005.93
6. Step 6: Final answer
   x = 778.06