Finding the Fourth Proportional to 7,081.56, 10,624.50 and 5,111.64

Step by Step Solution

1. Step 1: Write the proportion equation
   7,081.56 : 10,624.50 = 5,111.64 : x
2. Step 2: Convert to fraction form
   7,081.56/10,624.50 = 5,111.64/x
3. Step 3: Cross multiply
   7,081.56x = 10,624.50 × 5,111.64
4. Step 4: Simplify right side
   7,081.56x = 54,308,619.18
5. Step 5: Solve for x
   x = 54,308,619.18/7,081.56
6. Step 6: Final answer
   x = 7,669.02