Finding the Fourth Proportional to 10,265.63, 14,166.78 and 5,788.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.63 : 14,166.78 = 5,788.52 : x
2. Step 2: Convert to fraction form
   10,265.63/14,166.78 = 5,788.52/x
3. Step 3: Cross multiply
   10,265.63x = 14,166.78 × 5,788.52
4. Step 4: Simplify right side
   10,265.63x = 82,004,649.95
5. Step 5: Solve for x
   x = 82,004,649.95/10,265.63
6. Step 6: Final answer
   x = 7,988.28