Finding the Fourth Proportional to 82.63, 113.83 and 64.20

Step by Step Solution

1. Step 1: Write the proportion equation
   82.63 : 113.83 = 64.20 : x
2. Step 2: Convert to fraction form
   82.63/113.83 = 64.20/x
3. Step 3: Cross multiply
   82.63x = 113.83 × 64.20
4. Step 4: Simplify right side
   82.63x = 7,307.89
5. Step 5: Solve for x
   x = 7,307.89/82.63
6. Step 6: Final answer
   x = 88.44