Finding the Fourth Proportional to 10,516.42, 14,512.71 and 5,800.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.42 : 14,512.71 = 5,800.69 : x
2. Step 2: Convert to fraction form
   10,516.42/14,512.71 = 5,800.69/x
3. Step 3: Cross multiply
   10,516.42x = 14,512.71 × 5,800.69
4. Step 4: Simplify right side
   10,516.42x = 84,183,731.77
5. Step 5: Solve for x
   x = 84,183,731.77/10,516.42
6. Step 6: Final answer
   x = 8,004.98