Finding the Fourth Proportional to 10,410.02, 14,366.18 and 5,694.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410.02 : 14,366.18 = 5,694.30 : x
2. Step 2: Convert to fraction form
   10,410.02/14,366.18 = 5,694.30/x
3. Step 3: Cross multiply
   10,410.02x = 14,366.18 × 5,694.30
4. Step 4: Simplify right side
   10,410.02x = 81,805,338.77
5. Step 5: Solve for x
   x = 81,805,338.77/10,410.02
6. Step 6: Final answer
   x = 7,858.33