Finding the Fourth Proportional to 10,076.27, 13,906.49 and 6,098.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.27 : 13,906.49 = 6,098.76 : x
2. Step 2: Convert to fraction form
   10,076.27/13,906.49 = 6,098.76/x
3. Step 3: Cross multiply
   10,076.27x = 13,906.49 × 6,098.76
4. Step 4: Simplify right side
   10,076.27x = 84,812,314.46
5. Step 5: Solve for x
   x = 84,812,314.46/10,076.27
6. Step 6: Final answer
   x = 8,417.04