Finding the Fourth Proportional to 1,287.48, 1,929.86 and 547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.48 : 1,929.86 = 547.50 : x
2. Step 2: Convert to fraction form
   1,287.48/1,929.86 = 547.50/x
3. Step 3: Cross multiply
   1,287.48x = 1,929.86 × 547.50
4. Step 4: Simplify right side
   1,287.48x = 1,056,598.35
5. Step 5: Solve for x
   x = 1,056,598.35/1,287.48
6. Step 6: Final answer
   x = 820.67