Finding the Fourth Proportional to 9,877.80, 14,820.42 and 3,641.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.80 : 14,820.42 = 3,641.96 : x
2. Step 2: Convert to fraction form
   9,877.80/14,820.42 = 3,641.96/x
3. Step 3: Cross multiply
   9,877.80x = 14,820.42 × 3,641.96
4. Step 4: Simplify right side
   9,877.80x = 53,975,407.05
5. Step 5: Solve for x
   x = 53,975,407.05/9,877.80
6. Step 6: Final answer
   x = 5,464.32