Finding the Fourth Proportional to 10,076.64, 13,902.33 and 5,826.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.64 : 13,902.33 = 5,826.57 : x
2. Step 2: Convert to fraction form
   10,076.64/13,902.33 = 5,826.57/x
3. Step 3: Cross multiply
   10,076.64x = 13,902.33 × 5,826.57
4. Step 4: Simplify right side
   10,076.64x = 81,002,898.91
5. Step 5: Solve for x
   x = 81,002,898.91/10,076.64
6. Step 6: Final answer
   x = 8,038.68