Finding the Fourth Proportional to 7,454.59, 10,276.50 and 5,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,454.59 : 10,276.50 = 5,209.50 : x
2. Step 2: Convert to fraction form
   7,454.59/10,276.50 = 5,209.50/x
3. Step 3: Cross multiply
   7,454.59x = 10,276.50 × 5,209.50
4. Step 4: Simplify right side
   7,454.59x = 53,535,404.14
5. Step 5: Solve for x
   x = 53,535,404.14/7,454.59
6. Step 6: Final answer
   x = 7,181.53