Finding the Fourth Proportional to 10,409.90, 14,366.00 and 5,694.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.90 : 14,366.00 = 5,694.18 : x
2. Step 2: Convert to fraction form
   10,409.90/14,366.00 = 5,694.18/x
3. Step 3: Cross multiply
   10,409.90x = 14,366.00 × 5,694.18
4. Step 4: Simplify right side
   10,409.90x = 81,802,489.58
5. Step 5: Solve for x
   x = 81,802,489.58/10,409.90
6. Step 6: Final answer
   x = 7,858.15