Finding the Fourth Proportional to 10,036.32, 13,851.84 and 5,786.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,036.32 : 13,851.84 = 5,786.64 : x
2. Step 2: Convert to fraction form
   10,036.32/13,851.84 = 5,786.64/x
3. Step 3: Cross multiply
   10,036.32x = 13,851.84 × 5,786.64
4. Step 4: Simplify right side
   10,036.32x = 80,155,611.42
5. Step 5: Solve for x
   x = 80,155,611.42/10,036.32
6. Step 6: Final answer
   x = 7,986.55