Finding the Fourth Proportional to 10,430.38, 14,394 and 5,715.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,430.38 : 14,394 = 5,715.10 : x
2. Step 2: Convert to fraction form
   10,430.38/14,394 = 5,715.10/x
3. Step 3: Cross multiply
   10,430.38x = 14,394 × 5,715.10
4. Step 4: Simplify right side
   10,430.38x = 82,263,149.40
5. Step 5: Solve for x
   x = 82,263,149.40/10,430.38
6. Step 6: Final answer
   x = 7,886.88