Finding the Fourth Proportional to 1,113.48, 1,667.52 and 563.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,113.48 : 1,667.52 = 563.76 : x
2. Step 2: Convert to fraction form
   1,113.48/1,667.52 = 563.76/x
3. Step 3: Cross multiply
   1,113.48x = 1,667.52 × 563.76
4. Step 4: Simplify right side
   1,113.48x = 940,081.08
5. Step 5: Solve for x
   x = 940,081.08/1,113.48
6. Step 6: Final answer
   x = 844.27