Finding the Fourth Proportional to 2,729.79, 3,766.04 and 1,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,729.79 : 3,766.04 = 1,534.50 : x
2. Step 2: Convert to fraction form
   2,729.79/3,766.04 = 1,534.50/x
3. Step 3: Cross multiply
   2,729.79x = 3,766.04 × 1,534.50
4. Step 4: Simplify right side
   2,729.79x = 5,778,988.03
5. Step 5: Solve for x
   x = 5,778,988.03/2,729.79
6. Step 6: Final answer
   x = 2,117.01