Finding the Fourth Proportional to 9,857.42, 13,602.85 and 5,381.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,857.42 : 13,602.85 = 5,381.16 : x
2. Step 2: Convert to fraction form
   9,857.42/13,602.85 = 5,381.16/x
3. Step 3: Cross multiply
   9,857.42x = 13,602.85 × 5,381.16
4. Step 4: Simplify right side
   9,857.42x = 73,199,112.31
5. Step 5: Solve for x
   x = 73,199,112.31/9,857.42
6. Step 6: Final answer
   x = 7,425.79