Finding the Fourth Proportional to 9,886.57, 13,643.50 and 5,410.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.57 : 13,643.50 = 5,410.30 : x
2. Step 2: Convert to fraction form
   9,886.57/13,643.50 = 5,410.30/x
3. Step 3: Cross multiply
   9,886.57x = 13,643.50 × 5,410.30
4. Step 4: Simplify right side
   9,886.57x = 73,815,428.05
5. Step 5: Solve for x
   x = 73,815,428.05/9,886.57
6. Step 6: Final answer
   x = 7,466.23