Finding the Fourth Proportional to 10,430.69, 14,394.57 and 5,714.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,430.69 : 14,394.57 = 5,714.69 : x
2. Step 2: Convert to fraction form
   10,430.69/14,394.57 = 5,714.69/x
3. Step 3: Cross multiply
   10,430.69x = 14,394.57 × 5,714.69
4. Step 4: Simplify right side
   10,430.69x = 82,260,505.23
5. Step 5: Solve for x
   x = 82,260,505.23/10,430.69
6. Step 6: Final answer
   x = 7,886.39