Finding the Fourth Proportional to 3,105.81, 4,658.67 and 916.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.81 : 4,658.67 = 916.02 : x
2. Step 2: Convert to fraction form
   3,105.81/4,658.67 = 916.02/x
3. Step 3: Cross multiply
   3,105.81x = 4,658.67 × 916.02
4. Step 4: Simplify right side
   3,105.81x = 4,267,434.89
5. Step 5: Solve for x
   x = 4,267,434.89/3,105.81
6. Step 6: Final answer
   x = 1,374.02