Finding the Fourth Proportional to 10,705.56, 14,774.46 and 5,989.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.56 : 14,774.46 = 5,989.80 : x
2. Step 2: Convert to fraction form
   10,705.56/14,774.46 = 5,989.80/x
3. Step 3: Cross multiply
   10,705.56x = 14,774.46 × 5,989.80
4. Step 4: Simplify right side
   10,705.56x = 88,496,060.51
5. Step 5: Solve for x
   x = 88,496,060.51/10,705.56
6. Step 6: Final answer
   x = 8,266.36