Finding the Fourth Proportional to 10,345.34, 14,276.48 and 5,629.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.34 : 14,276.48 = 5,629.62 : x
2. Step 2: Convert to fraction form
   10,345.34/14,276.48 = 5,629.62/x
3. Step 3: Cross multiply
   10,345.34x = 14,276.48 × 5,629.62
4. Step 4: Simplify right side
   10,345.34x = 80,371,164.88
5. Step 5: Solve for x
   x = 80,371,164.88/10,345.34
6. Step 6: Final answer
   x = 7,768.83