Finding the Fourth Proportional to 10,529.65, 14,530.82 and 5,749.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,529.65 : 14,530.82 = 5,749.57 : x
2. Step 2: Convert to fraction form
   10,529.65/14,530.82 = 5,749.57/x
3. Step 3: Cross multiply
   10,529.65x = 14,530.82 × 5,749.57
4. Step 4: Simplify right side
   10,529.65x = 83,546,012.76
5. Step 5: Solve for x
   x = 83,546,012.76/10,529.65
6. Step 6: Final answer
   x = 7,934.36