Finding the Fourth Proportional to 10,091.99, 15,141.07 and 5,165.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.99 : 15,141.07 = 5,165.13 : x
2. Step 2: Convert to fraction form
   10,091.99/15,141.07 = 5,165.13/x
3. Step 3: Cross multiply
   10,091.99x = 15,141.07 × 5,165.13
4. Step 4: Simplify right side
   10,091.99x = 78,205,594.89
5. Step 5: Solve for x
   x = 78,205,594.89/10,091.99
6. Step 6: Final answer
   x = 7,749.27