Finding the Fourth Proportional to 1,111.96, 1,665.90 and 802.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.96 : 1,665.90 = 802.34 : x
2. Step 2: Convert to fraction form
   1,111.96/1,665.90 = 802.34/x
3. Step 3: Cross multiply
   1,111.96x = 1,665.90 × 802.34
4. Step 4: Simplify right side
   1,111.96x = 1,336,616.12
5. Step 5: Solve for x
   x = 1,336,616.12/1,111.96
6. Step 6: Final answer
   x = 1,202.03