Finding the Fourth Proportional to 10,516.41, 14,512.74 and 5,736.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.41 : 14,512.74 = 5,736.31 : x
2. Step 2: Convert to fraction form
   10,516.41/14,512.74 = 5,736.31/x
3. Step 3: Cross multiply
   10,516.41x = 14,512.74 × 5,736.31
4. Step 4: Simplify right side
   10,516.41x = 83,249,575.59
5. Step 5: Solve for x
   x = 83,249,575.59/10,516.41
6. Step 6: Final answer
   x = 7,916.16