Finding the Fourth Proportional to 10,344.76, 14,275.80 and 5,629.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,344.76 : 14,275.80 = 5,629.02 : x
2. Step 2: Convert to fraction form
   10,344.76/14,275.80 = 5,629.02/x
3. Step 3: Cross multiply
   10,344.76x = 14,275.80 × 5,629.02
4. Step 4: Simplify right side
   10,344.76x = 80,358,763.72
5. Step 5: Solve for x
   x = 80,358,763.72/10,344.76
6. Step 6: Final answer
   x = 7,768.06