Finding the Fourth Proportional to 11,754.05, 17,631.54 and 5,178.74

Step by Step Solution

1. Step 1: Write the proportion equation
   11,754.05 : 17,631.54 = 5,178.74 : x
2. Step 2: Convert to fraction form
   11,754.05/17,631.54 = 5,178.74/x
3. Step 3: Cross multiply
   11,754.05x = 17,631.54 × 5,178.74
4. Step 4: Simplify right side
   11,754.05x = 91,309,073.30
5. Step 5: Solve for x
   x = 91,309,073.30/11,754.05
6. Step 6: Final answer
   x = 7,768.31