Finding the Fourth Proportional to 11,599.23, 16,017.57 and 7,414.77

Step by Step Solution

1. Step 1: Write the proportion equation
   11,599.23 : 16,017.57 = 7,414.77 : x
2. Step 2: Convert to fraction form
   11,599.23/16,017.57 = 7,414.77/x
3. Step 3: Cross multiply
   11,599.23x = 16,017.57 × 7,414.77
4. Step 4: Simplify right side
   11,599.23x = 118,766,597.51
5. Step 5: Solve for x
   x = 118,766,597.51/11,599.23
6. Step 6: Final answer
   x = 10,239.18