Finding the Fourth Proportional to 1,011.63, 1,396.04 and 563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.63 : 1,396.04 = 563.50 : x
2. Step 2: Convert to fraction form
   1,011.63/1,396.04 = 563.50/x
3. Step 3: Cross multiply
   1,011.63x = 1,396.04 × 563.50
4. Step 4: Simplify right side
   1,011.63x = 786,667.94
5. Step 5: Solve for x
   x = 786,667.94/1,011.63
6. Step 6: Final answer
   x = 777.63