Finding the Fourth Proportional to 1,505.79, 2,077.92 and 916.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.79 : 2,077.92 = 916.38 : x
2. Step 2: Convert to fraction form
   1,505.79/2,077.92 = 916.38/x
3. Step 3: Cross multiply
   1,505.79x = 2,077.92 × 916.38
4. Step 4: Simplify right side
   1,505.79x = 1,904,164.33
5. Step 5: Solve for x
   x = 1,904,164.33/1,505.79
6. Step 6: Final answer
   x = 1,264.56