Finding the Fourth Proportional to 10,466.42, 14,443.12 and 5,749.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.42 : 14,443.12 = 5,749.80 : x
2. Step 2: Convert to fraction form
   10,466.42/14,443.12 = 5,749.80/x
3. Step 3: Cross multiply
   10,466.42x = 14,443.12 × 5,749.80
4. Step 4: Simplify right side
   10,466.42x = 83,045,051.38
5. Step 5: Solve for x
   x = 83,045,051.38/10,466.42
6. Step 6: Final answer
   x = 7,934.43