Finding the Fourth Proportional to 10,257.89, 14,156.66 and 5,782.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.89 : 14,156.66 = 5,782.06 : x
2. Step 2: Convert to fraction form
   10,257.89/14,156.66 = 5,782.06/x
3. Step 3: Cross multiply
   10,257.89x = 14,156.66 × 5,782.06
4. Step 4: Simplify right side
   10,257.89x = 81,854,557.83
5. Step 5: Solve for x
   x = 81,854,557.83/10,257.89
6. Step 6: Final answer
   x = 7,979.67