Finding the Fourth Proportional to 82.10, 123.06 and 61.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82.10 : 123.06 = 61.75 : x
2. Step 2: Convert to fraction form
   82.10/123.06 = 61.75/x
3. Step 3: Cross multiply
   82.10x = 123.06 × 61.75
4. Step 4: Simplify right side
   82.10x = 7,598.34
5. Step 5: Solve for x
   x = 7,598.34/82.10
6. Step 6: Final answer
   x = 92.56