Finding the Fourth Proportional to 6,506.58, 8,978.86 and 3,674.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,506.58 : 8,978.86 = 3,674.02 : x
2. Step 2: Convert to fraction form
   6,506.58/8,978.86 = 3,674.02/x
3. Step 3: Cross multiply
   6,506.58x = 8,978.86 × 3,674.02
4. Step 4: Simplify right side
   6,506.58x = 32,988,511.22
5. Step 5: Solve for x
   x = 32,988,511.22/6,506.58
6. Step 6: Final answer
   x = 5,070.02