Finding the Fourth Proportional to 10,496.80, 14,485.60 and 5,781.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.80 : 14,485.60 = 5,781.36 : x
2. Step 2: Convert to fraction form
   10,496.80/14,485.60 = 5,781.36/x
3. Step 3: Cross multiply
   10,496.80x = 14,485.60 × 5,781.36
4. Step 4: Simplify right side
   10,496.80x = 83,746,468.42
5. Step 5: Solve for x
   x = 83,746,468.42/10,496.80
6. Step 6: Final answer
   x = 7,978.29