Finding the Fourth Proportional to 1,194.50, 1,792.48 and 510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.50 : 1,792.48 = 510.50 : x
2. Step 2: Convert to fraction form
   1,194.50/1,792.48 = 510.50/x
3. Step 3: Cross multiply
   1,194.50x = 1,792.48 × 510.50
4. Step 4: Simplify right side
   1,194.50x = 915,061.04
5. Step 5: Solve for x
   x = 915,061.04/1,194.50
6. Step 6: Final answer
   x = 766.06