Finding the Fourth Proportional to 3,766.32, 5,646.12 and 1,916.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.32 : 5,646.12 = 1,916.40 : x
2. Step 2: Convert to fraction form
   3,766.32/5,646.12 = 1,916.40/x
3. Step 3: Cross multiply
   3,766.32x = 5,646.12 × 1,916.40
4. Step 4: Simplify right side
   3,766.32x = 10,820,224.37
5. Step 5: Solve for x
   x = 10,820,224.37/3,766.32
6. Step 6: Final answer
   x = 2,872.89