Finding the Fourth Proportional to 7,807.42, 11,700.78 and 3,647.08

Step by Step Solution

1. Step 1: Write the proportion equation
   7,807.42 : 11,700.78 = 3,647.08 : x
2. Step 2: Convert to fraction form
   7,807.42/11,700.78 = 3,647.08/x
3. Step 3: Cross multiply
   7,807.42x = 11,700.78 × 3,647.08
4. Step 4: Simplify right side
   7,807.42x = 42,673,680.72
5. Step 5: Solve for x
   x = 42,673,680.72/7,807.42
6. Step 6: Final answer
   x = 5,465.79