Finding the Fourth Proportional to 1,277.31, 1,763.12 and 806.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,277.31 : 1,763.12 = 806.00 : x
2. Step 2: Convert to fraction form
   1,277.31/1,763.12 = 806.00/x
3. Step 3: Cross multiply
   1,277.31x = 1,763.12 × 806.00
4. Step 4: Simplify right side
   1,277.31x = 1,421,061.87
5. Step 5: Solve for x
   x = 1,421,061.87/1,277.31
6. Step 6: Final answer
   x = 1,112.54