Finding the Fourth Proportional to 7,083.56, 10,627.50 and 5,113.64

Step by Step Solution

1. Step 1: Write the proportion equation
   7,083.56 : 10,627.50 = 5,113.64 : x
2. Step 2: Convert to fraction form
   7,083.56/10,627.50 = 5,113.64/x
3. Step 3: Cross multiply
   7,083.56x = 10,627.50 × 5,113.64
4. Step 4: Simplify right side
   7,083.56x = 54,345,209.10
5. Step 5: Solve for x
   x = 54,345,209.10/7,083.56
6. Step 6: Final answer
   x = 7,672.02