Finding the Fourth Proportional to 10,465.98, 14,442.98 and 5,685.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.98 : 14,442.98 = 5,685.96 : x
2. Step 2: Convert to fraction form
   10,465.98/14,442.98 = 5,685.96/x
3. Step 3: Cross multiply
   10,465.98x = 14,442.98 × 5,685.96
4. Step 4: Simplify right side
   10,465.98x = 82,122,220.78
5. Step 5: Solve for x
   x = 82,122,220.78/10,465.98
6. Step 6: Final answer
   x = 7,846.59