Finding the Fourth Proportional to 10,410.53, 14,366.41 and 5,694.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410.53 : 14,366.41 = 5,694.75 : x
2. Step 2: Convert to fraction form
   10,410.53/14,366.41 = 5,694.75/x
3. Step 3: Cross multiply
   10,410.53x = 14,366.41 × 5,694.75
4. Step 4: Simplify right side
   10,410.53x = 81,813,099.11
5. Step 5: Solve for x
   x = 81,813,099.11/10,410.53
6. Step 6: Final answer
   x = 7,858.69