Finding the Fourth Proportional to 11,797.56, 16,267.30 and 9,102.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,797.56 : 16,267.30 = 9,102.69 : x
2. Step 2: Convert to fraction form
   11,797.56/16,267.30 = 9,102.69/x
3. Step 3: Cross multiply
   11,797.56x = 16,267.30 × 9,102.69
4. Step 4: Simplify right side
   11,797.56x = 148,076,166.28
5. Step 5: Solve for x
   x = 148,076,166.28/11,797.56
6. Step 6: Final answer
   x = 12,551.42