Finding the Fourth Proportional to 10,529.82, 14,531.14 and 5,814.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,529.82 : 14,531.14 = 5,814.10 : x
2. Step 2: Convert to fraction form
   10,529.82/14,531.14 = 5,814.10/x
3. Step 3: Cross multiply
   10,529.82x = 14,531.14 × 5,814.10
4. Step 4: Simplify right side
   10,529.82x = 84,485,428.42
5. Step 5: Solve for x
   x = 84,485,428.42/10,529.82
6. Step 6: Final answer
   x = 8,023.45