Finding the Fourth Proportional to 1,191.98, 1,787.58 and 498.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.98 : 1,787.58 = 498.47 : x
2. Step 2: Convert to fraction form
   1,191.98/1,787.58 = 498.47/x
3. Step 3: Cross multiply
   1,191.98x = 1,787.58 × 498.47
4. Step 4: Simplify right side
   1,191.98x = 891,046.06
5. Step 5: Solve for x
   x = 891,046.06/1,191.98
6. Step 6: Final answer
   x = 747.53