Finding the Fourth Proportional to 1,191.46, 1,787.82 and 800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.46 : 1,787.82 = 800.50 : x
2. Step 2: Convert to fraction form
   1,191.46/1,787.82 = 800.50/x
3. Step 3: Cross multiply
   1,191.46x = 1,787.82 × 800.50
4. Step 4: Simplify right side
   1,191.46x = 1,431,149.91
5. Step 5: Solve for x
   x = 1,431,149.91/1,191.46
6. Step 6: Final answer
   x = 1,201.17