Finding the Fourth Proportional to 10,345.19, 14,275.89 and 5,629.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.19 : 14,275.89 = 5,629.46 : x
2. Step 2: Convert to fraction form
   10,345.19/14,275.89 = 5,629.46/x
3. Step 3: Cross multiply
   10,345.19x = 14,275.89 × 5,629.46
4. Step 4: Simplify right side
   10,345.19x = 80,365,480.34
5. Step 5: Solve for x
   x = 80,365,480.34/10,345.19
6. Step 6: Final answer
   x = 7,768.39