Finding the Fourth Proportional to 510.72, 766.17 and 194.10

Step by Step Solution

1. Step 1: Write the proportion equation
   510.72 : 766.17 = 194.10 : x
2. Step 2: Convert to fraction form
   510.72/766.17 = 194.10/x
3. Step 3: Cross multiply
   510.72x = 766.17 × 194.10
4. Step 4: Simplify right side
   510.72x = 148,713.60
5. Step 5: Solve for x
   x = 148,713.60/510.72
6. Step 6: Final answer
   x = 291.18