Finding the Fourth Proportional to 1,111.17, 1,667.80 and 563.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.17 : 1,667.80 = 563.75 : x
2. Step 2: Convert to fraction form
   1,111.17/1,667.80 = 563.75/x
3. Step 3: Cross multiply
   1,111.17x = 1,667.80 × 563.75
4. Step 4: Simplify right side
   1,111.17x = 940,213.91
5. Step 5: Solve for x
   x = 940,213.91/1,111.17
6. Step 6: Final answer
   x = 846.15