Finding the Fourth Proportional to 3,369.98, 5,055.64 and 1,178.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,369.98 : 5,055.64 = 1,178.78 : x
2. Step 2: Convert to fraction form
   3,369.98/5,055.64 = 1,178.78/x
3. Step 3: Cross multiply
   3,369.98x = 5,055.64 × 1,178.78
4. Step 4: Simplify right side
   3,369.98x = 5,959,487.32
5. Step 5: Solve for x
   x = 5,959,487.32/3,369.98
6. Step 6: Final answer
   x = 1,768.40