Finding the Fourth Proportional to 2,012.30, 3,019.35 and 916.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,012.30 : 3,019.35 = 916.10 : x
2. Step 2: Convert to fraction form
   2,012.30/3,019.35 = 916.10/x
3. Step 3: Cross multiply
   2,012.30x = 3,019.35 × 916.10
4. Step 4: Simplify right side
   2,012.30x = 2,766,026.54
5. Step 5: Solve for x
   x = 2,766,026.54/2,012.30
6. Step 6: Final answer
   x = 1,374.56