Finding the Fourth Proportional to 9,746.72, 14,599.02 and 5,120

Step by Step Solution

1. Step 1: Write the proportion equation
   9,746.72 : 14,599.02 = 5,120 : x
2. Step 2: Convert to fraction form
   9,746.72/14,599.02 = 5,120/x
3. Step 3: Cross multiply
   9,746.72x = 14,599.02 × 5,120
4. Step 4: Simplify right side
   9,746.72x = 74,746,982.40
5. Step 5: Solve for x
   x = 74,746,982.40/9,746.72
6. Step 6: Final answer
   x = 7,668.94