Finding the Fourth Proportional to 10,265.84, 14,166.60 and 5,789.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.84 : 14,166.60 = 5,789.51 : x
2. Step 2: Convert to fraction form
   10,265.84/14,166.60 = 5,789.51/x
3. Step 3: Cross multiply
   10,265.84x = 14,166.60 × 5,789.51
4. Step 4: Simplify right side
   10,265.84x = 82,017,672.37
5. Step 5: Solve for x
   x = 82,017,672.37/10,265.84
6. Step 6: Final answer
   x = 7,989.38