Finding the Fourth Proportional to 11,616, 17,426.16 and 5,460

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616 : 17,426.16 = 5,460 : x
2. Step 2: Convert to fraction form
   11,616/17,426.16 = 5,460/x
3. Step 3: Cross multiply
   11,616x = 17,426.16 × 5,460
4. Step 4: Simplify right side
   11,616x = 95,146,833.60
5. Step 5: Solve for x
   x = 95,146,833.60/11,616
6. Step 6: Final answer
   x = 8,191.02