Finding the Fourth Proportional to 10,682.80, 14,741.91 and 5,902.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,682.80 : 14,741.91 = 5,902.47 : x
2. Step 2: Convert to fraction form
   10,682.80/14,741.91 = 5,902.47/x
3. Step 3: Cross multiply
   10,682.80x = 14,741.91 × 5,902.47
4. Step 4: Simplify right side
   10,682.80x = 87,013,681.52
5. Step 5: Solve for x
   x = 87,013,681.52/10,682.80
6. Step 6: Final answer
   x = 8,145.21