Finding the Fourth Proportional to 7,784.67, 11,679.30 and 3,627.12

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.67 : 11,679.30 = 3,627.12 : x
2. Step 2: Convert to fraction form
   7,784.67/11,679.30 = 3,627.12/x
3. Step 3: Cross multiply
   7,784.67x = 11,679.30 × 3,627.12
4. Step 4: Simplify right side
   7,784.67x = 42,362,222.62
5. Step 5: Solve for x
   x = 42,362,222.62/7,784.67
6. Step 6: Final answer
   x = 5,441.75