Finding the Fourth Proportional to 10,345.86, 14,277.87 and 5,630.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.86 : 14,277.87 = 5,630.04 : x
2. Step 2: Convert to fraction form
   10,345.86/14,277.87 = 5,630.04/x
3. Step 3: Cross multiply
   10,345.86x = 14,277.87 × 5,630.04
4. Step 4: Simplify right side
   10,345.86x = 80,384,979.21
5. Step 5: Solve for x
   x = 80,384,979.21/10,345.86
6. Step 6: Final answer
   x = 7,769.77