Finding the Fourth Proportional to 10,836.56, 16,255.62 and 5,294.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,836.56 : 16,255.62 = 5,294.52 : x
2. Step 2: Convert to fraction form
   10,836.56/16,255.62 = 5,294.52/x
3. Step 3: Cross multiply
   10,836.56x = 16,255.62 × 5,294.52
4. Step 4: Simplify right side
   10,836.56x = 86,065,705.20
5. Step 5: Solve for x
   x = 86,065,705.20/10,836.56
6. Step 6: Final answer
   x = 7,942.16