Finding the Fourth Proportional to 1,427.52, 1,969.96 and 806.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.52 : 1,969.96 = 806.52 : x
2. Step 2: Convert to fraction form
   1,427.52/1,969.96 = 806.52/x
3. Step 3: Cross multiply
   1,427.52x = 1,969.96 × 806.52
4. Step 4: Simplify right side
   1,427.52x = 1,588,812.14
5. Step 5: Solve for x
   x = 1,588,812.14/1,427.52
6. Step 6: Final answer
   x = 1,112.99