Finding the Fourth Proportional to 10,291.82, 14,203.20 and 5,815.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,291.82 : 14,203.20 = 5,815.76 : x
2. Step 2: Convert to fraction form
   10,291.82/14,203.20 = 5,815.76/x
3. Step 3: Cross multiply
   10,291.82x = 14,203.20 × 5,815.76
4. Step 4: Simplify right side
   10,291.82x = 82,602,402.43
5. Step 5: Solve for x
   x = 82,602,402.43/10,291.82
6. Step 6: Final answer
   x = 8,026.02