Finding the Fourth Proportional to 2,009.83, 3,015.93 and 777.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.83 : 3,015.93 = 777.34 : x
2. Step 2: Convert to fraction form
   2,009.83/3,015.93 = 777.34/x
3. Step 3: Cross multiply
   2,009.83x = 3,015.93 × 777.34
4. Step 4: Simplify right side
   2,009.83x = 2,344,403.03
5. Step 5: Solve for x
   x = 2,344,403.03/2,009.83
6. Step 6: Final answer
   x = 1,166.47