Finding the Fourth Proportional to 1,362.21, 1,879.71 and 802.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362.21 : 1,879.71 = 802.64 : x
2. Step 2: Convert to fraction form
   1,362.21/1,879.71 = 802.64/x
3. Step 3: Cross multiply
   1,362.21x = 1,879.71 × 802.64
4. Step 4: Simplify right side
   1,362.21x = 1,508,730.43
5. Step 5: Solve for x
   x = 1,508,730.43/1,362.21
6. Step 6: Final answer
   x = 1,107.56