Finding the Fourth Proportional to 6,076.10, 9,071.52 and 5,142.18

Step by Step Solution

1. Step 1: Write the proportion equation
   6,076.10 : 9,071.52 = 5,142.18 : x
2. Step 2: Convert to fraction form
   6,076.10/9,071.52 = 5,142.18/x
3. Step 3: Cross multiply
   6,076.10x = 9,071.52 × 5,142.18
4. Step 4: Simplify right side
   6,076.10x = 46,647,388.71
5. Step 5: Solve for x
   x = 46,647,388.71/6,076.10
6. Step 6: Final answer
   x = 7,677.19