Finding the Fourth Proportional to 10,446.63, 14,416.34 and 5,731.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.63 : 14,416.34 = 5,731.01 : x
2. Step 2: Convert to fraction form
   10,446.63/14,416.34 = 5,731.01/x
3. Step 3: Cross multiply
   10,446.63x = 14,416.34 × 5,731.01
4. Step 4: Simplify right side
   10,446.63x = 82,620,188.70
5. Step 5: Solve for x
   x = 82,620,188.70/10,446.63
6. Step 6: Final answer
   x = 7,908.79