Finding the Fourth Proportional to 10,022.10, 13,828.53 and 5,714.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.10 : 13,828.53 = 5,714.58 : x
2. Step 2: Convert to fraction form
   10,022.10/13,828.53 = 5,714.58/x
3. Step 3: Cross multiply
   10,022.10x = 13,828.53 × 5,714.58
4. Step 4: Simplify right side
   10,022.10x = 79,024,240.97
5. Step 5: Solve for x
   x = 79,024,240.97/10,022.10
6. Step 6: Final answer
   x = 7,885.00