Finding the Fourth Proportional to 10,109.77, 15,164.67 and 5,176.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.77 : 15,164.67 = 5,176.72 : x
2. Step 2: Convert to fraction form
   10,109.77/15,164.67 = 5,176.72/x
3. Step 3: Cross multiply
   10,109.77x = 15,164.67 × 5,176.72
4. Step 4: Simplify right side
   10,109.77x = 78,503,250.48
5. Step 5: Solve for x
   x = 78,503,250.48/10,109.77
6. Step 6: Final answer
   x = 7,765.09