Finding the Fourth Proportional to 11,766.06, 17,635.17 and 5,178.48

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.06 : 17,635.17 = 5,178.48 : x
2. Step 2: Convert to fraction form
   11,766.06/17,635.17 = 5,178.48/x
3. Step 3: Cross multiply
   11,766.06x = 17,635.17 × 5,178.48
4. Step 4: Simplify right side
   11,766.06x = 91,323,375.14
5. Step 5: Solve for x
   x = 91,323,375.14/11,766.06
6. Step 6: Final answer
   x = 7,761.59