Finding the Fourth Proportional to 9,892.86, 13,652.07 and 5,416.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.86 : 13,652.07 = 5,416.53 : x
2. Step 2: Convert to fraction form
   9,892.86/13,652.07 = 5,416.53/x
3. Step 3: Cross multiply
   9,892.86x = 13,652.07 × 5,416.53
4. Step 4: Simplify right side
   9,892.86x = 73,946,846.72
5. Step 5: Solve for x
   x = 73,946,846.72/9,892.86
6. Step 6: Final answer
   x = 7,474.77