Finding the Fourth Proportional to 9,697.56, 14,541.90 and 3,777.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.56 : 14,541.90 = 3,777.48 : x
2. Step 2: Convert to fraction form
   9,697.56/14,541.90 = 3,777.48/x
3. Step 3: Cross multiply
   9,697.56x = 14,541.90 × 3,777.48
4. Step 4: Simplify right side
   9,697.56x = 54,931,736.41
5. Step 5: Solve for x
   x = 54,931,736.41/9,697.56
6. Step 6: Final answer
   x = 5,664.49