Finding the Fourth Proportional to 10,444.63, 14,414.50 and 5,729.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,444.63 : 14,414.50 = 5,729.83 : x
2. Step 2: Convert to fraction form
   10,444.63/14,414.50 = 5,729.83/x
3. Step 3: Cross multiply
   10,444.63x = 14,414.50 × 5,729.83
4. Step 4: Simplify right side
   10,444.63x = 82,592,562.46
5. Step 5: Solve for x
   x = 82,592,562.46/10,444.63
6. Step 6: Final answer
   x = 7,907.66