Finding the Fourth Proportional to 1,114.56, 1,669.25 and 565.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.56 : 1,669.25 = 565.41 : x
2. Step 2: Convert to fraction form
   1,114.56/1,669.25 = 565.41/x
3. Step 3: Cross multiply
   1,114.56x = 1,669.25 × 565.41
4. Step 4: Simplify right side
   1,114.56x = 943,807.82
5. Step 5: Solve for x
   x = 943,807.82/1,114.56
6. Step 6: Final answer
   x = 846.80