Finding the Fourth Proportional to 11,755.71, 17,638.83 and 5,184.18

Step by Step Solution

1. Step 1: Write the proportion equation
   11,755.71 : 17,638.83 = 5,184.18 : x
2. Step 2: Convert to fraction form
   11,755.71/17,638.83 = 5,184.18/x
3. Step 3: Cross multiply
   11,755.71x = 17,638.83 × 5,184.18
4. Step 4: Simplify right side
   11,755.71x = 91,442,869.71
5. Step 5: Solve for x
   x = 91,442,869.71/11,755.71
6. Step 6: Final answer
   x = 7,778.59