Finding the Fourth Proportional to 2,094.47, 3,139.71 and 777.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,094.47 : 3,139.71 = 777.87 : x
2. Step 2: Convert to fraction form
   2,094.47/3,139.71 = 777.87/x
3. Step 3: Cross multiply
   2,094.47x = 3,139.71 × 777.87
4. Step 4: Simplify right side
   2,094.47x = 2,442,294.30
5. Step 5: Solve for x
   x = 2,442,294.30/2,094.47
6. Step 6: Final answer
   x = 1,166.07