Finding the Fourth Proportional to 1,191.98, 1,787.40 and 498.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.98 : 1,787.40 = 498.22 : x
2. Step 2: Convert to fraction form
   1,191.98/1,787.40 = 498.22/x
3. Step 3: Cross multiply
   1,191.98x = 1,787.40 × 498.22
4. Step 4: Simplify right side
   1,191.98x = 890,513.96
5. Step 5: Solve for x
   x = 890,513.96/1,191.98
6. Step 6: Final answer
   x = 747.09