Finding the Fourth Proportional to 10,502.64, 14,493.12 and 5,786.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.64 : 14,493.12 = 5,786.16 : x
2. Step 2: Convert to fraction form
   10,502.64/14,493.12 = 5,786.16/x
3. Step 3: Cross multiply
   10,502.64x = 14,493.12 × 5,786.16
4. Step 4: Simplify right side
   10,502.64x = 83,859,511.22
5. Step 5: Solve for x
   x = 83,859,511.22/10,502.64
6. Step 6: Final answer
   x = 7,984.61