Finding the Fourth Proportional to 1,142.06, 1,575.57 and 806.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.06 : 1,575.57 = 806.45 : x
2. Step 2: Convert to fraction form
   1,142.06/1,575.57 = 806.45/x
3. Step 3: Cross multiply
   1,142.06x = 1,575.57 × 806.45
4. Step 4: Simplify right side
   1,142.06x = 1,270,610.55
5. Step 5: Solve for x
   x = 1,270,610.55/1,142.06
6. Step 6: Final answer
   x = 1,112.56