Finding the Fourth Proportional to 10,265, 14,166.56 and 5,788.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265 : 14,166.56 = 5,788.52 : x
2. Step 2: Convert to fraction form
   10,265/14,166.56 = 5,788.52/x
3. Step 3: Cross multiply
   10,265x = 14,166.56 × 5,788.52
4. Step 4: Simplify right side
   10,265x = 82,003,415.89
5. Step 5: Solve for x
   x = 82,003,415.89/10,265
6. Step 6: Final answer
   x = 7,988.64