Finding the Fourth Proportional to 10,074.54, 13,902.18 and 5,537.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.54 : 13,902.18 = 5,537.55 : x
2. Step 2: Convert to fraction form
   10,074.54/13,902.18 = 5,537.55/x
3. Step 3: Cross multiply
   10,074.54x = 13,902.18 × 5,537.55
4. Step 4: Simplify right side
   10,074.54x = 76,984,001.18
5. Step 5: Solve for x
   x = 76,984,001.18/10,074.54
6. Step 6: Final answer
   x = 7,641.44