Finding the Fourth Proportional to 10,468.65, 14,446.86 and 5,752.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468.65 : 14,446.86 = 5,752.94 : x
2. Step 2: Convert to fraction form
   10,468.65/14,446.86 = 5,752.94/x
3. Step 3: Cross multiply
   10,468.65x = 14,446.86 × 5,752.94
4. Step 4: Simplify right side
   10,468.65x = 83,111,846.53
5. Step 5: Solve for x
   x = 83,111,846.53/10,468.65
6. Step 6: Final answer
   x = 7,939.12