Finding the Fourth Proportional to 1,614.69, 2,228.27 and 916.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,614.69 : 2,228.27 = 916.07 : x
2. Step 2: Convert to fraction form
   1,614.69/2,228.27 = 916.07/x
3. Step 3: Cross multiply
   1,614.69x = 2,228.27 × 916.07
4. Step 4: Simplify right side
   1,614.69x = 2,041,251.30
5. Step 5: Solve for x
   x = 2,041,251.30/1,614.69
6. Step 6: Final answer
   x = 1,264.18