Finding the Fourth Proportional to 11,590.94, 16,003.78 and 9,164.70

Step by Step Solution

1. Step 1: Write the proportion equation
   11,590.94 : 16,003.78 = 9,164.70 : x
2. Step 2: Convert to fraction form
   11,590.94/16,003.78 = 9,164.70/x
3. Step 3: Cross multiply
   11,590.94x = 16,003.78 × 9,164.70
4. Step 4: Simplify right side
   11,590.94x = 146,669,819.65
5. Step 5: Solve for x
   x = 146,669,819.65/11,590.94
6. Step 6: Final answer
   x = 12,653.83