Finding the Fourth Proportional to 6,507.76, 8,978.83 and 3,675

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507.76 : 8,978.83 = 3,675 : x
2. Step 2: Convert to fraction form
   6,507.76/8,978.83 = 3,675/x
3. Step 3: Cross multiply
   6,507.76x = 8,978.83 × 3,675
4. Step 4: Simplify right side
   6,507.76x = 32,997,200.25
5. Step 5: Solve for x
   x = 32,997,200.25/6,507.76
6. Step 6: Final answer
   x = 5,070.44