Finding the Fourth Proportional to 11,636.61, 16,049.96 and 7,158.74

Step by Step Solution

1. Step 1: Write the proportion equation
   11,636.61 : 16,049.96 = 7,158.74 : x
2. Step 2: Convert to fraction form
   11,636.61/16,049.96 = 7,158.74/x
3. Step 3: Cross multiply
   11,636.61x = 16,049.96 × 7,158.74
4. Step 4: Simplify right side
   11,636.61x = 114,897,374.61
5. Step 5: Solve for x
   x = 114,897,374.61/11,636.61
6. Step 6: Final answer
   x = 9,873.78