Finding the Fourth Proportional to 9,746.22, 14,598.27 and 5,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,746.22 : 14,598.27 = 5,119.50 : x
2. Step 2: Convert to fraction form
   9,746.22/14,598.27 = 5,119.50/x
3. Step 3: Cross multiply
   9,746.22x = 14,598.27 × 5,119.50
4. Step 4: Simplify right side
   9,746.22x = 74,735,843.27
5. Step 5: Solve for x
   x = 74,735,843.27/9,746.22
6. Step 6: Final answer
   x = 7,668.19