Finding the Fourth Proportional to 1,114.50, 1,672.14 and 498.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.50 : 1,672.14 = 498.27 : x
2. Step 2: Convert to fraction form
   1,114.50/1,672.14 = 498.27/x
3. Step 3: Cross multiply
   1,114.50x = 1,672.14 × 498.27
4. Step 4: Simplify right side
   1,114.50x = 833,185.34
5. Step 5: Solve for x
   x = 833,185.34/1,114.50
6. Step 6: Final answer
   x = 747.58