Finding the Fourth Proportional to 5,714.10, 7,876.05 and 3,825.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,714.10 : 7,876.05 = 3,825.03 : x
2. Step 2: Convert to fraction form
   5,714.10/7,876.05 = 3,825.03/x
3. Step 3: Cross multiply
   5,714.10x = 7,876.05 × 3,825.03
4. Step 4: Simplify right side
   5,714.10x = 30,126,127.53
5. Step 5: Solve for x
   x = 30,126,127.53/5,714.10
6. Step 6: Final answer
   x = 5,272.24