Finding the Fourth Proportional to 10,502.61, 14,493.59 and 5,786.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.61 : 14,493.59 = 5,786.89 : x
2. Step 2: Convert to fraction form
   10,502.61/14,493.59 = 5,786.89/x
3. Step 3: Cross multiply
   10,502.61x = 14,493.59 × 5,786.89
4. Step 4: Simplify right side
   10,502.61x = 83,872,709.63
5. Step 5: Solve for x
   x = 83,872,709.63/10,502.61
6. Step 6: Final answer
   x = 7,985.90