Finding the Fourth Proportional to 1,111.24, 1,664.70 and 802.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.24 : 1,664.70 = 802.36 : x
2. Step 2: Convert to fraction form
   1,111.24/1,664.70 = 802.36/x
3. Step 3: Cross multiply
   1,111.24x = 1,664.70 × 802.36
4. Step 4: Simplify right side
   1,111.24x = 1,335,688.69
5. Step 5: Solve for x
   x = 1,335,688.69/1,111.24
6. Step 6: Final answer
   x = 1,201.98