Finding the Fourth Proportional to 9,885.42, 13,642.24 and 5,409.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,885.42 : 13,642.24 = 5,409.56 : x
2. Step 2: Convert to fraction form
   9,885.42/13,642.24 = 5,409.56/x
3. Step 3: Cross multiply
   9,885.42x = 13,642.24 × 5,409.56
4. Step 4: Simplify right side
   9,885.42x = 73,798,515.81
5. Step 5: Solve for x
   x = 73,798,515.81/9,885.42
6. Step 6: Final answer
   x = 7,465.39