Finding the Fourth Proportional to 7,785.61, 11,685.72 and 3,628.48

Step by Step Solution

1. Step 1: Write the proportion equation
   7,785.61 : 11,685.72 = 3,628.48 : x
2. Step 2: Convert to fraction form
   7,785.61/11,685.72 = 3,628.48/x
3. Step 3: Cross multiply
   7,785.61x = 11,685.72 × 3,628.48
4. Step 4: Simplify right side
   7,785.61x = 42,401,401.31
5. Step 5: Solve for x
   x = 42,401,401.31/7,785.61
6. Step 6: Final answer
   x = 5,446.12