Finding the Fourth Proportional to 6,094.48, 8,414.28 and 4,978.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,094.48 : 8,414.28 = 4,978.10 : x
2. Step 2: Convert to fraction form
   6,094.48/8,414.28 = 4,978.10/x
3. Step 3: Cross multiply
   6,094.48x = 8,414.28 × 4,978.10
4. Step 4: Simplify right side
   6,094.48x = 41,887,127.27
5. Step 5: Solve for x
   x = 41,887,127.27/6,094.48
6. Step 6: Final answer
   x = 6,872.96