Finding the Fourth Proportional to 7,606.50, 11,404.53 and 3,657.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,606.50 : 11,404.53 = 3,657.59 : x
2. Step 2: Convert to fraction form
   7,606.50/11,404.53 = 3,657.59/x
3. Step 3: Cross multiply
   7,606.50x = 11,404.53 × 3,657.59
4. Step 4: Simplify right side
   7,606.50x = 41,713,094.88
5. Step 5: Solve for x
   x = 41,713,094.88/7,606.50
6. Step 6: Final answer
   x = 5,483.87