Finding the Fourth Proportional to 10,090.99, 15,139.57 and 5,164.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.99 : 15,139.57 = 5,164.13 : x
2. Step 2: Convert to fraction form
   10,090.99/15,139.57 = 5,164.13/x
3. Step 3: Cross multiply
   10,090.99x = 15,139.57 × 5,164.13
4. Step 4: Simplify right side
   10,090.99x = 78,182,707.62
5. Step 5: Solve for x
   x = 78,182,707.62/10,090.99
6. Step 6: Final answer
   x = 7,747.77