Finding the Fourth Proportional to 10,265.51, 14,166.60 and 5,788.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.51 : 14,166.60 = 5,788.39 : x
2. Step 2: Convert to fraction form
   10,265.51/14,166.60 = 5,788.39/x
3. Step 3: Cross multiply
   10,265.51x = 14,166.60 × 5,788.39
4. Step 4: Simplify right side
   10,265.51x = 82,001,805.77
5. Step 5: Solve for x
   x = 82,001,805.77/10,265.51
6. Step 6: Final answer
   x = 7,988.09