Finding the Fourth Proportional to 10,160.93, 14,022.75 and 5,685.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160.93 : 14,022.75 = 5,685.46 : x
2. Step 2: Convert to fraction form
   10,160.93/14,022.75 = 5,685.46/x
3. Step 3: Cross multiply
   10,160.93x = 14,022.75 × 5,685.46
4. Step 4: Simplify right side
   10,160.93x = 79,725,770.48
5. Step 5: Solve for x
   x = 79,725,770.48/10,160.93
6. Step 6: Final answer
   x = 7,846.30