Finding the Fourth Proportional to 78.06, 116.82 and 64.19

Step by Step Solution

1. Step 1: Write the proportion equation
   78.06 : 116.82 = 64.19 : x
2. Step 2: Convert to fraction form
   78.06/116.82 = 64.19/x
3. Step 3: Cross multiply
   78.06x = 116.82 × 64.19
4. Step 4: Simplify right side
   78.06x = 7,498.09
5. Step 5: Solve for x
   x = 7,498.09/78.06
6. Step 6: Final answer
   x = 96.06