Finding the Fourth Proportional to 1,364.94, 2,045.61 and 498.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.94 : 2,045.61 = 498.42 : x
2. Step 2: Convert to fraction form
   1,364.94/2,045.61 = 498.42/x
3. Step 3: Cross multiply
   1,364.94x = 2,045.61 × 498.42
4. Step 4: Simplify right side
   1,364.94x = 1,019,572.94
5. Step 5: Solve for x
   x = 1,019,572.94/1,364.94
6. Step 6: Final answer
   x = 746.97