Finding the Fourth Proportional to 11,616.50, 17,426.91 and 5,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616.50 : 17,426.91 = 5,460.50 : x
2. Step 2: Convert to fraction form
   11,616.50/17,426.91 = 5,460.50/x
3. Step 3: Cross multiply
   11,616.50x = 17,426.91 × 5,460.50
4. Step 4: Simplify right side
   11,616.50x = 95,159,642.06
5. Step 5: Solve for x
   x = 95,159,642.06/11,616.50
6. Step 6: Final answer
   x = 8,191.77