Finding the Fourth Proportional to 9,892.11, 13,650.96 and 5,415.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.11 : 13,650.96 = 5,415.78 : x
2. Step 2: Convert to fraction form
   9,892.11/13,650.96 = 5,415.78/x
3. Step 3: Cross multiply
   9,892.11x = 13,650.96 × 5,415.78
4. Step 4: Simplify right side
   9,892.11x = 73,930,596.15
5. Step 5: Solve for x
   x = 73,930,596.15/9,892.11
6. Step 6: Final answer
   x = 7,473.69