Finding the Fourth Proportional to 11,826.14, 16,310.82 and 7,577.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826.14 : 16,310.82 = 7,577.60 : x
2. Step 2: Convert to fraction form
   11,826.14/16,310.82 = 7,577.60/x
3. Step 3: Cross multiply
   11,826.14x = 16,310.82 × 7,577.60
4. Step 4: Simplify right side
   11,826.14x = 123,596,869.63
5. Step 5: Solve for x
   x = 123,596,869.63/11,826.14
6. Step 6: Final answer
   x = 10,451.16