Finding the Fourth Proportional to 10,529.83, 14,530.78 and 5,814.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,529.83 : 14,530.78 = 5,814.01 : x
2. Step 2: Convert to fraction form
   10,529.83/14,530.78 = 5,814.01/x
3. Step 3: Cross multiply
   10,529.83x = 14,530.78 × 5,814.01
4. Step 4: Simplify right side
   10,529.83x = 84,482,049.37
5. Step 5: Solve for x
   x = 84,482,049.37/10,529.83
6. Step 6: Final answer
   x = 8,023.12