Finding the Fourth Proportional to 6,477.25, 9,702.63 and 3,180.01

Step by Step Solution

1. Step 1: Write the proportion equation
   6,477.25 : 9,702.63 = 3,180.01 : x
2. Step 2: Convert to fraction form
   6,477.25/9,702.63 = 3,180.01/x
3. Step 3: Cross multiply
   6,477.25x = 9,702.63 × 3,180.01
4. Step 4: Simplify right side
   6,477.25x = 30,854,460.43
5. Step 5: Solve for x
   x = 30,854,460.43/6,477.25
6. Step 6: Final answer
   x = 4,763.51