Finding the Fourth Proportional to 10,076.88, 13,906.76 and 5,828.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.88 : 13,906.76 = 5,828.80 : x
2. Step 2: Convert to fraction form
   10,076.88/13,906.76 = 5,828.80/x
3. Step 3: Cross multiply
   10,076.88x = 13,906.76 × 5,828.80
4. Step 4: Simplify right side
   10,076.88x = 81,059,722.69
5. Step 5: Solve for x
   x = 81,059,722.69/10,076.88
6. Step 6: Final answer
   x = 8,044.13