Finding the Fourth Proportional to 9,883.10, 13,638.62 and 5,406.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,883.10 : 13,638.62 = 5,406.77 : x
2. Step 2: Convert to fraction form
   9,883.10/13,638.62 = 5,406.77/x
3. Step 3: Cross multiply
   9,883.10x = 13,638.62 × 5,406.77
4. Step 4: Simplify right side
   9,883.10x = 73,740,826.78
5. Step 5: Solve for x
   x = 73,740,826.78/9,883.10
6. Step 6: Final answer
   x = 7,461.31