Finding the Fourth Proportional to 10,345.38, 14,276.88 and 5,629.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.38 : 14,276.88 = 5,629.92 : x
2. Step 2: Convert to fraction form
   10,345.38/14,276.88 = 5,629.92/x
3. Step 3: Cross multiply
   10,345.38x = 14,276.88 × 5,629.92
4. Step 4: Simplify right side
   10,345.38x = 80,377,692.25
5. Step 5: Solve for x
   x = 80,377,692.25/10,345.38
6. Step 6: Final answer
   x = 7,769.43