Finding the Fourth Proportional to 2,092.66, 3,139.05 and 776.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.66 : 3,139.05 = 776.53 : x
2. Step 2: Convert to fraction form
   2,092.66/3,139.05 = 776.53/x
3. Step 3: Cross multiply
   2,092.66x = 3,139.05 × 776.53
4. Step 4: Simplify right side
   2,092.66x = 2,437,566.50
5. Step 5: Solve for x
   x = 2,437,566.50/2,092.66
6. Step 6: Final answer
   x = 1,164.82