Finding the Fourth Proportional to 2,288.32, 3,430.96 and 1,178.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,288.32 : 3,430.96 = 1,178.42 : x
2. Step 2: Convert to fraction form
   2,288.32/3,430.96 = 1,178.42/x
3. Step 3: Cross multiply
   2,288.32x = 3,430.96 × 1,178.42
4. Step 4: Simplify right side
   2,288.32x = 4,043,091.78
5. Step 5: Solve for x
   x = 4,043,091.78/2,288.32
6. Step 6: Final answer
   x = 1,766.84