Finding the Fourth Proportional to 9,877.86, 13,631.63 and 5,401.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.86 : 13,631.63 = 5,401.80 : x
2. Step 2: Convert to fraction form
   9,877.86/13,631.63 = 5,401.80/x
3. Step 3: Cross multiply
   9,877.86x = 13,631.63 × 5,401.80
4. Step 4: Simplify right side
   9,877.86x = 73,635,311.93
5. Step 5: Solve for x
   x = 73,635,311.93/9,877.86
6. Step 6: Final answer
   x = 7,454.58