Finding the Fourth Proportional to 1,066.14, 1,471.98 and 805.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.14 : 1,471.98 = 805.32 : x
2. Step 2: Convert to fraction form
   1,066.14/1,471.98 = 805.32/x
3. Step 3: Cross multiply
   1,066.14x = 1,471.98 × 805.32
4. Step 4: Simplify right side
   1,066.14x = 1,185,414.93
5. Step 5: Solve for x
   x = 1,185,414.93/1,066.14
6. Step 6: Final answer
   x = 1,111.88