Finding the Fourth Proportional to 10,345.76, 14,277.18 and 5,630.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.76 : 14,277.18 = 5,630.02 : x
2. Step 2: Convert to fraction form
   10,345.76/14,277.18 = 5,630.02/x
3. Step 3: Cross multiply
   10,345.76x = 14,277.18 × 5,630.02
4. Step 4: Simplify right side
   10,345.76x = 80,380,808.94
5. Step 5: Solve for x
   x = 80,380,808.94/10,345.76
6. Step 6: Final answer
   x = 7,769.44