Finding the Fourth Proportional to 9,886.24, 13,642.60 and 5,409.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.24 : 13,642.60 = 5,409.88 : x
2. Step 2: Convert to fraction form
   9,886.24/13,642.60 = 5,409.88/x
3. Step 3: Cross multiply
   9,886.24x = 13,642.60 × 5,409.88
4. Step 4: Simplify right side
   9,886.24x = 73,804,828.89
5. Step 5: Solve for x
   x = 73,804,828.89/9,886.24
6. Step 6: Final answer
   x = 7,465.41