Finding the Fourth Proportional to 10,502.42, 14,493.24 and 5,786.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.42 : 14,493.24 = 5,786.60 : x
2. Step 2: Convert to fraction form
   10,502.42/14,493.24 = 5,786.60/x
3. Step 3: Cross multiply
   10,502.42x = 14,493.24 × 5,786.60
4. Step 4: Simplify right side
   10,502.42x = 83,866,582.58
5. Step 5: Solve for x
   x = 83,866,582.58/10,502.42
6. Step 6: Final answer
   x = 7,985.45