Finding the Fourth Proportional to 10,345.91, 14,277.50 and 5,630.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.91 : 14,277.50 = 5,630.19 : x
2. Step 2: Convert to fraction form
   10,345.91/14,277.50 = 5,630.19/x
3. Step 3: Cross multiply
   10,345.91x = 14,277.50 × 5,630.19
4. Step 4: Simplify right side
   10,345.91x = 80,385,009.57
5. Step 5: Solve for x
   x = 80,385,009.57/10,345.91
6. Step 6: Final answer
   x = 7,769.74