Finding the Fourth Proportional to 1,192.50, 1,789.47 and 508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.50 : 1,789.47 = 508.50 : x
2. Step 2: Convert to fraction form
   1,192.50/1,789.47 = 508.50/x
3. Step 3: Cross multiply
   1,192.50x = 1,789.47 × 508.50
4. Step 4: Simplify right side
   1,192.50x = 909,945.50
5. Step 5: Solve for x
   x = 909,945.50/1,192.50
6. Step 6: Final answer
   x = 763.06