Finding the Fourth Proportional to 10,474.35, 14,454.63 and 5,694.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,474.35 : 14,454.63 = 5,694.27 : x
2. Step 2: Convert to fraction form
   10,474.35/14,454.63 = 5,694.27/x
3. Step 3: Cross multiply
   10,474.35x = 14,454.63 × 5,694.27
4. Step 4: Simplify right side
   10,474.35x = 82,308,565.97
5. Step 5: Solve for x
   x = 82,308,565.97/10,474.35
6. Step 6: Final answer
   x = 7,858.11