Finding the Fourth Proportional to 10,474.31, 14,454.83 and 5,694.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,474.31 : 14,454.83 = 5,694.58 : x
2. Step 2: Convert to fraction form
   10,474.31/14,454.83 = 5,694.58/x
3. Step 3: Cross multiply
   10,474.31x = 14,454.83 × 5,694.58
4. Step 4: Simplify right side
   10,474.31x = 82,314,121.21
5. Step 5: Solve for x
   x = 82,314,121.21/10,474.31
6. Step 6: Final answer
   x = 7,858.67