Finding the Fourth Proportional to 10,771.58, 16,140.06 and 7,071.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,771.58 : 16,140.06 = 7,071.00 : x
2. Step 2: Convert to fraction form
   10,771.58/16,140.06 = 7,071.00/x
3. Step 3: Cross multiply
   10,771.58x = 16,140.06 × 7,071.00
4. Step 4: Simplify right side
   10,771.58x = 114,126,303.73
5. Step 5: Solve for x
   x = 114,126,303.73/10,771.58
6. Step 6: Final answer
   x = 10,595.13