Finding the Fourth Proportional to 10,706.25, 16,048.71 and 5,158.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706.25 : 16,048.71 = 5,158.02 : x
2. Step 2: Convert to fraction form
   10,706.25/16,048.71 = 5,158.02/x
3. Step 3: Cross multiply
   10,706.25x = 16,048.71 × 5,158.02
4. Step 4: Simplify right side
   10,706.25x = 82,779,567.15
5. Step 5: Solve for x
   x = 82,779,567.15/10,706.25
6. Step 6: Final answer
   x = 7,731.89