Finding the Fourth Proportional to 10,410, 14,365.83 and 5,694.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,410 : 14,365.83 = 5,694.24 : x
2. Step 2: Convert to fraction form
   10,410/14,365.83 = 5,694.24/x
3. Step 3: Cross multiply
   10,410x = 14,365.83 × 5,694.24
4. Step 4: Simplify right side
   10,410x = 81,802,483.82
5. Step 5: Solve for x
   x = 81,802,483.82/10,410
6. Step 6: Final answer
   x = 7,858.07