Finding the Fourth Proportional to 9,886.07, 13,642.82 and 5,409.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.07 : 13,642.82 = 5,409.81 : x
2. Step 2: Convert to fraction form
   9,886.07/13,642.82 = 5,409.81/x
3. Step 3: Cross multiply
   9,886.07x = 13,642.82 × 5,409.81
4. Step 4: Simplify right side
   9,886.07x = 73,805,037.02
5. Step 5: Solve for x
   x = 73,805,037.02/9,886.07
6. Step 6: Final answer
   x = 7,465.56