Finding the Fourth Proportional to 11,978.91, 16,530.86 and 6,946.04

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978.91 : 16,530.86 = 6,946.04 : x
2. Step 2: Convert to fraction form
   11,978.91/16,530.86 = 6,946.04/x
3. Step 3: Cross multiply
   11,978.91x = 16,530.86 × 6,946.04
4. Step 4: Simplify right side
   11,978.91x = 114,824,073.49
5. Step 5: Solve for x
   x = 114,824,073.49/11,978.91
6. Step 6: Final answer
   x = 9,585.52