Finding the Fourth Proportional to 9,499.14, 14,245.47 and 3,657.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,499.14 : 14,245.47 = 3,657.78 : x
2. Step 2: Convert to fraction form
   9,499.14/14,245.47 = 3,657.78/x
3. Step 3: Cross multiply
   9,499.14x = 14,245.47 × 3,657.78
4. Step 4: Simplify right side
   9,499.14x = 52,106,795.26
5. Step 5: Solve for x
   x = 52,106,795.26/9,499.14
6. Step 6: Final answer
   x = 5,485.42