Finding the Fourth Proportional to 9,883.20, 13,638.12 and 5,406.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,883.20 : 13,638.12 = 5,406.86 : x
2. Step 2: Convert to fraction form
   9,883.20/13,638.12 = 5,406.86/x
3. Step 3: Cross multiply
   9,883.20x = 13,638.12 × 5,406.86
4. Step 4: Simplify right side
   9,883.20x = 73,739,337.31
5. Step 5: Solve for x
   x = 73,739,337.31/9,883.20
6. Step 6: Final answer
   x = 7,461.08