Finding the Fourth Proportional to 9,886.63, 13,643.72 and 5,410.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.63 : 13,643.72 = 5,410.77 : x
2. Step 2: Convert to fraction form
   9,886.63/13,643.72 = 5,410.77/x
3. Step 3: Cross multiply
   9,886.63x = 13,643.72 × 5,410.77
4. Step 4: Simplify right side
   9,886.63x = 73,823,030.86
5. Step 5: Solve for x
   x = 73,823,030.86/9,886.63
6. Step 6: Final answer
   x = 7,466.96