Finding the Fourth Proportional to 10,345.69, 14,277.05 and 5,630.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.69 : 14,277.05 = 5,630.00 : x
2. Step 2: Convert to fraction form
   10,345.69/14,277.05 = 5,630.00/x
3. Step 3: Cross multiply
   10,345.69x = 14,277.05 × 5,630.00
4. Step 4: Simplify right side
   10,345.69x = 80,379,841.27
5. Step 5: Solve for x
   x = 80,379,841.27/10,345.69
6. Step 6: Final answer
   x = 7,769.41