Finding the Fourth Proportional to 9,892.34, 13,651.52 and 5,416.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.34 : 13,651.52 = 5,416.14 : x
2. Step 2: Convert to fraction form
   9,892.34/13,651.52 = 5,416.14/x
3. Step 3: Cross multiply
   9,892.34x = 13,651.52 × 5,416.14
4. Step 4: Simplify right side
   9,892.34x = 73,938,465.26
5. Step 5: Solve for x
   x = 73,938,465.26/9,892.34
6. Step 6: Final answer
   x = 7,474.31