Finding the Fourth Proportional to 10,345.19, 14,276.43 and 5,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.19 : 14,276.43 = 5,629.50 : x
2. Step 2: Convert to fraction form
   10,345.19/14,276.43 = 5,629.50/x
3. Step 3: Cross multiply
   10,345.19x = 14,276.43 × 5,629.50
4. Step 4: Simplify right side
   10,345.19x = 80,369,184.30
5. Step 5: Solve for x
   x = 80,369,184.30/10,345.19
6. Step 6: Final answer
   x = 7,768.75