Finding the Fourth Proportional to 1,077.76, 1,617.18 and 500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.76 : 1,617.18 = 500.50 : x
2. Step 2: Convert to fraction form
   1,077.76/1,617.18 = 500.50/x
3. Step 3: Cross multiply
   1,077.76x = 1,617.18 × 500.50
4. Step 4: Simplify right side
   1,077.76x = 809,398.59
5. Step 5: Solve for x
   x = 809,398.59/1,077.76
6. Step 6: Final answer
   x = 751.00