Finding the Fourth Proportional to 9,892.82, 13,651.47 and 5,416.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.82 : 13,651.47 = 5,416.56 : x
2. Step 2: Convert to fraction form
   9,892.82/13,651.47 = 5,416.56/x
3. Step 3: Cross multiply
   9,892.82x = 13,651.47 × 5,416.56
4. Step 4: Simplify right side
   9,892.82x = 73,944,006.34
5. Step 5: Solve for x
   x = 73,944,006.34/9,892.82
6. Step 6: Final answer
   x = 7,474.51