Finding the Fourth Proportional to 10,606.56, 14,638.80 and 8,084.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,606.56 : 14,638.80 = 8,084.40 : x
2. Step 2: Convert to fraction form
   10,606.56/14,638.80 = 8,084.40/x
3. Step 3: Cross multiply
   10,606.56x = 14,638.80 × 8,084.40
4. Step 4: Simplify right side
   10,606.56x = 118,345,914.72
5. Step 5: Solve for x
   x = 118,345,914.72/10,606.56
6. Step 6: Final answer
   x = 11,157.80