Finding the Fourth Proportional to 1,505.86, 2,077.52 and 916.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.86 : 2,077.52 = 916.18 : x
2. Step 2: Convert to fraction form
   1,505.86/2,077.52 = 916.18/x
3. Step 3: Cross multiply
   1,505.86x = 2,077.52 × 916.18
4. Step 4: Simplify right side
   1,505.86x = 1,903,372.50
5. Step 5: Solve for x
   x = 1,903,372.50/1,505.86
6. Step 6: Final answer
   x = 1,263.98