Finding the Fourth Proportional to 9,878.81, 14,824.06 and 3,643.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.81 : 14,824.06 = 3,643.21 : x
2. Step 2: Convert to fraction form
   9,878.81/14,824.06 = 3,643.21/x
3. Step 3: Cross multiply
   9,878.81x = 14,824.06 × 3,643.21
4. Step 4: Simplify right side
   9,878.81x = 54,007,089.51
5. Step 5: Solve for x
   x = 54,007,089.51/9,878.81
6. Step 6: Final answer
   x = 5,466.96