Finding the Fourth Proportional to 10,071.69, 15,109.06 and 5,138.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.69 : 15,109.06 = 5,138.63 : x
2. Step 2: Convert to fraction form
   10,071.69/15,109.06 = 5,138.63/x
3. Step 3: Cross multiply
   10,071.69x = 15,109.06 × 5,138.63
4. Step 4: Simplify right side
   10,071.69x = 77,639,868.99
5. Step 5: Solve for x
   x = 77,639,868.99/10,071.69
6. Step 6: Final answer
   x = 7,708.72