Finding the Fourth Proportional to 3,764.50, 5,188.53 and 3,538.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,764.50 : 5,188.53 = 3,538.78 : x
2. Step 2: Convert to fraction form
   3,764.50/5,188.53 = 3,538.78/x
3. Step 3: Cross multiply
   3,764.50x = 5,188.53 × 3,538.78
4. Step 4: Simplify right side
   3,764.50x = 18,361,066.19
5. Step 5: Solve for x
   x = 18,361,066.19/3,764.50
6. Step 6: Final answer
   x = 4,877.42