Finding the Fourth Proportional to 5,538.86, 7,644.37 and 3,522.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.86 : 7,644.37 = 3,522.47 : x
2. Step 2: Convert to fraction form
   5,538.86/7,644.37 = 3,522.47/x
3. Step 3: Cross multiply
   5,538.86x = 7,644.37 × 3,522.47
4. Step 4: Simplify right side
   5,538.86x = 26,927,035.16
5. Step 5: Solve for x
   x = 26,927,035.16/5,538.86
6. Step 6: Final answer
   x = 4,861.47