Finding the Fourth Proportional to 1,191.54, 1,788.15 and 802.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.54 : 1,788.15 = 802.29 : x
2. Step 2: Convert to fraction form
   1,191.54/1,788.15 = 802.29/x
3. Step 3: Cross multiply
   1,191.54x = 1,788.15 × 802.29
4. Step 4: Simplify right side
   1,191.54x = 1,434,614.86
5. Step 5: Solve for x
   x = 1,434,614.86/1,191.54
6. Step 6: Final answer
   x = 1,204.00