Finding the Fourth Proportional to 9,142.19, 12,615.91 and 5,109.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.19 : 12,615.91 = 5,109.24 : x
2. Step 2: Convert to fraction form
   9,142.19/12,615.91 = 5,109.24/x
3. Step 3: Cross multiply
   9,142.19x = 12,615.91 × 5,109.24
4. Step 4: Simplify right side
   9,142.19x = 64,457,712.01
5. Step 5: Solve for x
   x = 64,457,712.01/9,142.19
6. Step 6: Final answer
   x = 7,050.58