Finding the Fourth Proportional to 10,345.92, 14,277.50 and 5,630.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.92 : 14,277.50 = 5,630.20 : x
2. Step 2: Convert to fraction form
   10,345.92/14,277.50 = 5,630.20/x
3. Step 3: Cross multiply
   10,345.92x = 14,277.50 × 5,630.20
4. Step 4: Simplify right side
   10,345.92x = 80,385,180.50
5. Step 5: Solve for x
   x = 80,385,180.50/10,345.92
6. Step 6: Final answer
   x = 7,769.75