Finding the Fourth Proportional to 82.98, 123.75 and 78.84

Step by Step Solution

1. Step 1: Write the proportion equation
   82.98 : 123.75 = 78.84 : x
2. Step 2: Convert to fraction form
   82.98/123.75 = 78.84/x
3. Step 3: Cross multiply
   82.98x = 123.75 × 78.84
4. Step 4: Simplify right side
   82.98x = 9,756.45
5. Step 5: Solve for x
   x = 9,756.45/82.98
6. Step 6: Final answer
   x = 117.58