Finding the Fourth Proportional to 9,886.02, 13,642.56 and 5,409.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.02 : 13,642.56 = 5,409.96 : x
2. Step 2: Convert to fraction form
   9,886.02/13,642.56 = 5,409.96/x
3. Step 3: Cross multiply
   9,886.02x = 13,642.56 × 5,409.96
4. Step 4: Simplify right side
   9,886.02x = 73,805,703.90
5. Step 5: Solve for x
   x = 73,805,703.90/9,886.02
6. Step 6: Final answer
   x = 7,465.66