Finding the Fourth Proportional to 82.55, 113.90 and 64.10

Step by Step Solution

1. Step 1: Write the proportion equation
   82.55 : 113.90 = 64.10 : x
2. Step 2: Convert to fraction form
   82.55/113.90 = 64.10/x
3. Step 3: Cross multiply
   82.55x = 113.90 × 64.10
4. Step 4: Simplify right side
   82.55x = 7,300.67
5. Step 5: Solve for x
   x = 7,300.67/82.55
6. Step 6: Final answer
   x = 88.44