Finding the Fourth Proportional to 6,505.74, 8,978.90 and 3,674.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,505.74 : 8,978.90 = 3,674.30 : x
2. Step 2: Convert to fraction form
   6,505.74/8,978.90 = 3,674.30/x
3. Step 3: Cross multiply
   6,505.74x = 8,978.90 × 3,674.30
4. Step 4: Simplify right side
   6,505.74x = 32,991,109.00
5. Step 5: Solve for x
   x = 32,991,109.00/6,505.74
6. Step 6: Final answer
   x = 5,071.08