Finding the Fourth Proportional to 9,886.86, 13,643.61 and 5,410.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.86 : 13,643.61 = 5,410.64 : x
2. Step 2: Convert to fraction form
   9,886.86/13,643.61 = 5,410.64/x
3. Step 3: Cross multiply
   9,886.86x = 13,643.61 × 5,410.64
4. Step 4: Simplify right side
   9,886.86x = 73,820,593.79
5. Step 5: Solve for x
   x = 73,820,593.79/9,886.86
6. Step 6: Final answer
   x = 7,466.54