Finding the Fourth Proportional to 9,415.98, 12,994.17 and 5,166.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,415.98 : 12,994.17 = 5,166.96 : x
2. Step 2: Convert to fraction form
   9,415.98/12,994.17 = 5,166.96/x
3. Step 3: Cross multiply
   9,415.98x = 12,994.17 × 5,166.96
4. Step 4: Simplify right side
   9,415.98x = 67,140,356.62
5. Step 5: Solve for x
   x = 67,140,356.62/9,415.98
6. Step 6: Final answer
   x = 7,130.47