Finding the Fourth Proportional to 10,429.74, 14,393.16 and 5,714.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.74 : 14,393.16 = 5,714.10 : x
2. Step 2: Convert to fraction form
   10,429.74/14,393.16 = 5,714.10/x
3. Step 3: Cross multiply
   10,429.74x = 14,393.16 × 5,714.10
4. Step 4: Simplify right side
   10,429.74x = 82,243,955.56
5. Step 5: Solve for x
   x = 82,243,955.56/10,429.74
6. Step 6: Final answer
   x = 7,885.52