Finding the Fourth Proportional to 9,174.82, 12,661.29 and 5,196.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,174.82 : 12,661.29 = 5,196.70 : x
2. Step 2: Convert to fraction form
   9,174.82/12,661.29 = 5,196.70/x
3. Step 3: Cross multiply
   9,174.82x = 12,661.29 × 5,196.70
4. Step 4: Simplify right side
   9,174.82x = 65,796,925.74
5. Step 5: Solve for x
   x = 65,796,925.74/9,174.82
6. Step 6: Final answer
   x = 7,171.47