Finding the Fourth Proportional to 9,886.58, 13,643.46 and 5,410.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.58 : 13,643.46 = 5,410.32 : x
2. Step 2: Convert to fraction form
   9,886.58/13,643.46 = 5,410.32/x
3. Step 3: Cross multiply
   9,886.58x = 13,643.46 × 5,410.32
4. Step 4: Simplify right side
   9,886.58x = 73,815,484.51
5. Step 5: Solve for x
   x = 73,815,484.51/9,886.58
6. Step 6: Final answer
   x = 7,466.23