Finding the Fourth Proportional to 2,002.38, 2,999.82 and 1,178.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.38 : 2,999.82 = 1,178.19 : x
2. Step 2: Convert to fraction form
   2,002.38/2,999.82 = 1,178.19/x
3. Step 3: Cross multiply
   2,002.38x = 2,999.82 × 1,178.19
4. Step 4: Simplify right side
   2,002.38x = 3,534,357.93
5. Step 5: Solve for x
   x = 3,534,357.93/2,002.38
6. Step 6: Final answer
   x = 1,765.08