Finding the Fourth Proportional to 510.02, 764.69 and 185.34

Step by Step Solution

1. Step 1: Write the proportion equation
   510.02 : 764.69 = 185.34 : x
2. Step 2: Convert to fraction form
   510.02/764.69 = 185.34/x
3. Step 3: Cross multiply
   510.02x = 764.69 × 185.34
4. Step 4: Simplify right side
   510.02x = 141,726.72
5. Step 5: Solve for x
   x = 141,726.72/510.02
6. Step 6: Final answer
   x = 277.89