Finding the Fourth Proportional to 1,465.82, 2,022.50 and 993.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.82 : 2,022.50 = 993.78 : x
2. Step 2: Convert to fraction form
   1,465.82/2,022.50 = 993.78/x
3. Step 3: Cross multiply
   1,465.82x = 2,022.50 × 993.78
4. Step 4: Simplify right side
   1,465.82x = 2,009,920.05
5. Step 5: Solve for x
   x = 2,009,920.05/1,465.82
6. Step 6: Final answer
   x = 1,371.19