Finding the Fourth Proportional to 10,077.82, 13,906.28 and 5,828.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.82 : 13,906.28 = 5,828.96 : x
2. Step 2: Convert to fraction form
   10,077.82/13,906.28 = 5,828.96/x
3. Step 3: Cross multiply
   10,077.82x = 13,906.28 × 5,828.96
4. Step 4: Simplify right side
   10,077.82x = 81,059,199.21
5. Step 5: Solve for x
   x = 81,059,199.21/10,077.82
6. Step 6: Final answer
   x = 8,043.33