Finding the Fourth Proportional to 6,466.61, 9,705.59 and 3,698.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,466.61 : 9,705.59 = 3,698.84 : x
2. Step 2: Convert to fraction form
   6,466.61/9,705.59 = 3,698.84/x
3. Step 3: Cross multiply
   6,466.61x = 9,705.59 × 3,698.84
4. Step 4: Simplify right side
   6,466.61x = 35,899,448.78
5. Step 5: Solve for x
   x = 35,899,448.78/6,466.61
6. Step 6: Final answer
   x = 5,551.51