Finding the Fourth Proportional to 11,738.75, 17,613.86 and 5,164.11

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738.75 : 17,613.86 = 5,164.11 : x
2. Step 2: Convert to fraction form
   11,738.75/17,613.86 = 5,164.11/x
3. Step 3: Cross multiply
   11,738.75x = 17,613.86 × 5,164.11
4. Step 4: Simplify right side
   11,738.75x = 90,959,884.74
5. Step 5: Solve for x
   x = 90,959,884.74/11,738.75
6. Step 6: Final answer
   x = 7,748.69