Finding the Fourth Proportional to 1,998.42, 2,997.83 and 766.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,998.42 : 2,997.83 = 766.87 : x
2. Step 2: Convert to fraction form
   1,998.42/2,997.83 = 766.87/x
3. Step 3: Cross multiply
   1,998.42x = 2,997.83 × 766.87
4. Step 4: Simplify right side
   1,998.42x = 2,298,945.89
5. Step 5: Solve for x
   x = 2,298,945.89/1,998.42
6. Step 6: Final answer
   x = 1,150.38