Finding the Fourth Proportional to 11,738.67, 17,613.70 and 5,164.00

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738.67 : 17,613.70 = 5,164.00 : x
2. Step 2: Convert to fraction form
   11,738.67/17,613.70 = 5,164.00/x
3. Step 3: Cross multiply
   11,738.67x = 17,613.70 × 5,164.00
4. Step 4: Simplify right side
   11,738.67x = 90,957,122.88
5. Step 5: Solve for x
   x = 90,957,122.88/11,738.67
6. Step 6: Final answer
   x = 7,748.50