Finding the Fourth Proportional to 1,505.92, 2,077.82 and 916.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.92 : 2,077.82 = 916.42 : x
2. Step 2: Convert to fraction form
   1,505.92/2,077.82 = 916.42/x
3. Step 3: Cross multiply
   1,505.92x = 2,077.82 × 916.42
4. Step 4: Simplify right side
   1,505.92x = 1,904,151.22
5. Step 5: Solve for x
   x = 1,904,151.22/1,505.92
6. Step 6: Final answer
   x = 1,264.44