Finding the Fourth Proportional to 2,178.83, 3,005.39 and 1,433.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.83 : 3,005.39 = 1,433.75 : x
2. Step 2: Convert to fraction form
   2,178.83/3,005.39 = 1,433.75/x
3. Step 3: Cross multiply
   2,178.83x = 3,005.39 × 1,433.75
4. Step 4: Simplify right side
   2,178.83x = 4,308,966.47
5. Step 5: Solve for x
   x = 4,308,966.47/2,178.83
6. Step 6: Final answer
   x = 1,977.65