Finding the Fourth Proportional to 2,071.50, 3,107.22 and 511.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.50 : 3,107.22 = 511.52 : x
2. Step 2: Convert to fraction form
   2,071.50/3,107.22 = 511.52/x
3. Step 3: Cross multiply
   2,071.50x = 3,107.22 × 511.52
4. Step 4: Simplify right side
   2,071.50x = 1,589,405.17
5. Step 5: Solve for x
   x = 1,589,405.17/2,071.50
6. Step 6: Final answer
   x = 767.27