Finding the Fourth Proportional to 10,529.56, 14,530.76 and 5,813.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,529.56 : 14,530.76 = 5,813.82 : x
2. Step 2: Convert to fraction form
   10,529.56/14,530.76 = 5,813.82/x
3. Step 3: Cross multiply
   10,529.56x = 14,530.76 × 5,813.82
4. Step 4: Simplify right side
   10,529.56x = 84,479,223.10
5. Step 5: Solve for x
   x = 84,479,223.10/10,529.56
6. Step 6: Final answer
   x = 8,023.05