Finding the Fourth Proportional to 1,505.94, 2,078.61 and 916.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.94 : 2,078.61 = 916.47 : x
2. Step 2: Convert to fraction form
   1,505.94/2,078.61 = 916.47/x
3. Step 3: Cross multiply
   1,505.94x = 2,078.61 × 916.47
4. Step 4: Simplify right side
   1,505.94x = 1,904,983.71
5. Step 5: Solve for x
   x = 1,904,983.71/1,505.94
6. Step 6: Final answer
   x = 1,264.98