Finding the Fourth Proportional to 9,415.33, 12,992.71 and 5,166.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,415.33 : 12,992.71 = 5,166.30 : x
2. Step 2: Convert to fraction form
   9,415.33/12,992.71 = 5,166.30/x
3. Step 3: Cross multiply
   9,415.33x = 12,992.71 × 5,166.30
4. Step 4: Simplify right side
   9,415.33x = 67,124,237.67
5. Step 5: Solve for x
   x = 67,124,237.67/9,415.33
6. Step 6: Final answer
   x = 7,129.25