Finding the Fourth Proportional to 9,196.77, 12,691.71 and 5,005.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.77 : 12,691.71 = 5,005.02 : x
2. Step 2: Convert to fraction form
   9,196.77/12,691.71 = 5,005.02/x
3. Step 3: Cross multiply
   9,196.77x = 12,691.71 × 5,005.02
4. Step 4: Simplify right side
   9,196.77x = 63,522,262.38
5. Step 5: Solve for x
   x = 63,522,262.38/9,196.77
6. Step 6: Final answer
   x = 6,907.02