Finding the Fourth Proportional to 9,878.65, 14,823.83 and 3,643.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.65 : 14,823.83 = 3,643.04 : x
2. Step 2: Convert to fraction form
   9,878.65/14,823.83 = 3,643.04/x
3. Step 3: Cross multiply
   9,878.65x = 14,823.83 × 3,643.04
4. Step 4: Simplify right side
   9,878.65x = 54,003,851.81
5. Step 5: Solve for x
   x = 54,003,851.81/9,878.65
6. Step 6: Final answer
   x = 5,466.73