Finding the Fourth Proportional to 10,502.53, 14,493.40 and 5,786.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.53 : 14,493.40 = 5,786.78 : x
2. Step 2: Convert to fraction form
   10,502.53/14,493.40 = 5,786.78/x
3. Step 3: Cross multiply
   10,502.53x = 14,493.40 × 5,786.78
4. Step 4: Simplify right side
   10,502.53x = 83,870,030.32
5. Step 5: Solve for x
   x = 83,870,030.32/10,502.53
6. Step 6: Final answer
   x = 7,985.70