Finding the Fourth Proportional to 11,774.75, 16,253.42 and 7,797.15

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774.75 : 16,253.42 = 7,797.15 : x
2. Step 2: Convert to fraction form
   11,774.75/16,253.42 = 7,797.15/x
3. Step 3: Cross multiply
   11,774.75x = 16,253.42 × 7,797.15
4. Step 4: Simplify right side
   11,774.75x = 126,730,314.77
5. Step 5: Solve for x
   x = 126,730,314.77/11,774.75
6. Step 6: Final answer
   x = 10,762.89