Finding the Fourth Proportional to 2,086.50, 3,129.94 and 547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.50 : 3,129.94 = 547.50 : x
2. Step 2: Convert to fraction form
   2,086.50/3,129.94 = 547.50/x
3. Step 3: Cross multiply
   2,086.50x = 3,129.94 × 547.50
4. Step 4: Simplify right side
   2,086.50x = 1,713,642.15
5. Step 5: Solve for x
   x = 1,713,642.15/2,086.50
6. Step 6: Final answer
   x = 821.30