Finding the Fourth Proportional to 1,430.24, 1,973.57 and 800.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,430.24 : 1,973.57 = 800.82 : x
2. Step 2: Convert to fraction form
   1,430.24/1,973.57 = 800.82/x
3. Step 3: Cross multiply
   1,430.24x = 1,973.57 × 800.82
4. Step 4: Simplify right side
   1,430.24x = 1,580,470.32
5. Step 5: Solve for x
   x = 1,580,470.32/1,430.24
6. Step 6: Final answer
   x = 1,105.04