Finding the Fourth Proportional to 2,002.68, 2,999.88 and 1,178.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.68 : 2,999.88 = 1,178.42 : x
2. Step 2: Convert to fraction form
   2,002.68/2,999.88 = 1,178.42/x
3. Step 3: Cross multiply
   2,002.68x = 2,999.88 × 1,178.42
4. Step 4: Simplify right side
   2,002.68x = 3,535,103.59
5. Step 5: Solve for x
   x = 3,535,103.59/2,002.68
6. Step 6: Final answer
   x = 1,765.19