Finding the Fourth Proportional to 11,760.08, 17,645.88 and 5,178.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,760.08 : 17,645.88 = 5,178.42 : x
2. Step 2: Convert to fraction form
   11,760.08/17,645.88 = 5,178.42/x
3. Step 3: Cross multiply
   11,760.08x = 17,645.88 × 5,178.42
4. Step 4: Simplify right side
   11,760.08x = 91,377,777.91
5. Step 5: Solve for x
   x = 91,377,777.91/11,760.08
6. Step 6: Final answer
   x = 7,770.17