Finding the Fourth Proportional to 918.02, 1,266.72 and 563.83

Step by Step Solution

1. Step 1: Write the proportion equation
   918.02 : 1,266.72 = 563.83 : x
2. Step 2: Convert to fraction form
   918.02/1,266.72 = 563.83/x
3. Step 3: Cross multiply
   918.02x = 1,266.72 × 563.83
4. Step 4: Simplify right side
   918.02x = 714,212.89
5. Step 5: Solve for x
   x = 714,212.89/918.02
6. Step 6: Final answer
   x = 777.99