Finding the Fourth Proportional to 7,624.89, 10,516.77 and 5,102.55

Step by Step Solution

1. Step 1: Write the proportion equation
   7,624.89 : 10,516.77 = 5,102.55 : x
2. Step 2: Convert to fraction form
   7,624.89/10,516.77 = 5,102.55/x
3. Step 3: Cross multiply
   7,624.89x = 10,516.77 × 5,102.55
4. Step 4: Simplify right side
   7,624.89x = 53,662,344.76
5. Step 5: Solve for x
   x = 53,662,344.76/7,624.89
6. Step 6: Final answer
   x = 7,037.79