Finding the Fourth Proportional to 10,651.05, 15,978.06 and 5,107.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,651.05 : 15,978.06 = 5,107.14 : x
2. Step 2: Convert to fraction form
   10,651.05/15,978.06 = 5,107.14/x
3. Step 3: Cross multiply
   10,651.05x = 15,978.06 × 5,107.14
4. Step 4: Simplify right side
   10,651.05x = 81,602,189.35
5. Step 5: Solve for x
   x = 81,602,189.35/10,651.05
6. Step 6: Final answer
   x = 7,661.42