Finding the Fourth Proportional to 10,516.82, 14,512.80 and 5,801.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.82 : 14,512.80 = 5,801.10 : x
2. Step 2: Convert to fraction form
   10,516.82/14,512.80 = 5,801.10/x
3. Step 3: Cross multiply
   10,516.82x = 14,512.80 × 5,801.10
4. Step 4: Simplify right side
   10,516.82x = 84,190,171.41
5. Step 5: Solve for x
   x = 84,190,171.41/10,516.82
6. Step 6: Final answer
   x = 8,005.29