Finding the Fourth Proportional to 10,682.87, 14,741.60 and 5,902.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,682.87 : 14,741.60 = 5,902.76 : x
2. Step 2: Convert to fraction form
   10,682.87/14,741.60 = 5,902.76/x
3. Step 3: Cross multiply
   10,682.87x = 14,741.60 × 5,902.76
4. Step 4: Simplify right side
   10,682.87x = 87,016,023.59
5. Step 5: Solve for x
   x = 87,016,023.59/10,682.87
6. Step 6: Final answer
   x = 8,145.38