Finding the Fourth Proportional to 9,857.96, 13,604.04 and 5,381.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.96 : 13,604.04 = 5,381.82 : x
2. Step 2: Convert to fraction form
   9,857.96/13,604.04 = 5,381.82/x
3. Step 3: Cross multiply
   9,857.96x = 13,604.04 × 5,381.82
4. Step 4: Simplify right side
   9,857.96x = 73,214,494.55
5. Step 5: Solve for x
   x = 73,214,494.55/9,857.96
6. Step 6: Final answer
   x = 7,426.94