Finding the Fourth Proportional to 1,884.89, 2,827.49 and 498.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,884.89 : 2,827.49 = 498.23 : x
2. Step 2: Convert to fraction form
   1,884.89/2,827.49 = 498.23/x
3. Step 3: Cross multiply
   1,884.89x = 2,827.49 × 498.23
4. Step 4: Simplify right side
   1,884.89x = 1,408,723.71
5. Step 5: Solve for x
   x = 1,408,723.71/1,884.89
6. Step 6: Final answer
   x = 747.38