Finding the Fourth Proportional to 2,093.13, 3,137.69 and 776.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,093.13 : 3,137.69 = 776.53 : x
2. Step 2: Convert to fraction form
   2,093.13/3,137.69 = 776.53/x
3. Step 3: Cross multiply
   2,093.13x = 3,137.69 × 776.53
4. Step 4: Simplify right side
   2,093.13x = 2,436,510.42
5. Step 5: Solve for x
   x = 2,436,510.42/2,093.13
6. Step 6: Final answer
   x = 1,164.05