Finding the Fourth Proportional to 10,450.47, 14,422.06 and 5,734.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,450.47 : 14,422.06 = 5,734.92 : x
2. Step 2: Convert to fraction form
   10,450.47/14,422.06 = 5,734.92/x
3. Step 3: Cross multiply
   10,450.47x = 14,422.06 × 5,734.92
4. Step 4: Simplify right side
   10,450.47x = 82,709,360.34
5. Step 5: Solve for x
   x = 82,709,360.34/10,450.47
6. Step 6: Final answer
   x = 7,914.42