Finding the Fourth Proportional to 1,505.48, 2,077.33 and 916.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.48 : 2,077.33 = 916.21 : x
2. Step 2: Convert to fraction form
   1,505.48/2,077.33 = 916.21/x
3. Step 3: Cross multiply
   1,505.48x = 2,077.33 × 916.21
4. Step 4: Simplify right side
   1,505.48x = 1,903,255.55
5. Step 5: Solve for x
   x = 1,903,255.55/1,505.48
6. Step 6: Final answer
   x = 1,264.22