Finding the Fourth Proportional to 1,430.24, 1,973.76 and 809.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,430.24 : 1,973.76 = 809.12 : x
2. Step 2: Convert to fraction form
   1,430.24/1,973.76 = 809.12/x
3. Step 3: Cross multiply
   1,430.24x = 1,973.76 × 809.12
4. Step 4: Simplify right side
   1,430.24x = 1,597,008.69
5. Step 5: Solve for x
   x = 1,597,008.69/1,430.24
6. Step 6: Final answer
   x = 1,116.60