Finding the Fourth Proportional to 9,878.57, 14,823.69 and 3,642.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.57 : 14,823.69 = 3,642.96 : x
2. Step 2: Convert to fraction form
   9,878.57/14,823.69 = 3,642.96/x
3. Step 3: Cross multiply
   9,878.57x = 14,823.69 × 3,642.96
4. Step 4: Simplify right side
   9,878.57x = 54,002,109.72
5. Step 5: Solve for x
   x = 54,002,109.72/9,878.57
6. Step 6: Final answer
   x = 5,466.59