Finding the Fourth Proportional to 10,345.78, 14,277.22 and 5,630.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.78 : 14,277.22 = 5,630.06 : x
2. Step 2: Convert to fraction form
   10,345.78/14,277.22 = 5,630.06/x
3. Step 3: Cross multiply
   10,345.78x = 14,277.22 × 5,630.06
4. Step 4: Simplify right side
   10,345.78x = 80,381,605.23
5. Step 5: Solve for x
   x = 80,381,605.23/10,345.78
6. Step 6: Final answer
   x = 7,769.51