Finding the Fourth Proportional to 82.34, 123.60 and 71.00

Step by Step Solution

1. Step 1: Write the proportion equation
   82.34 : 123.60 = 71.00 : x
2. Step 2: Convert to fraction form
   82.34/123.60 = 71.00/x
3. Step 3: Cross multiply
   82.34x = 123.60 × 71.00
4. Step 4: Simplify right side
   82.34x = 8,774.98
5. Step 5: Solve for x
   x = 8,774.98/82.34
6. Step 6: Final answer
   x = 106.58