Finding the Fourth Proportional to 1,191.94, 1,787.94 and 498.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.94 : 1,787.94 = 498.11 : x
2. Step 2: Convert to fraction form
   1,191.94/1,787.94 = 498.11/x
3. Step 3: Cross multiply
   1,191.94x = 1,787.94 × 498.11
4. Step 4: Simplify right side
   1,191.94x = 890,581.85
5. Step 5: Solve for x
   x = 890,581.85/1,191.94
6. Step 6: Final answer
   x = 747.17