Finding the Fourth Proportional to 1,681.72, 2,522.71 and 511.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,681.72 : 2,522.71 = 511.82 : x
2. Step 2: Convert to fraction form
   1,681.72/2,522.71 = 511.82/x
3. Step 3: Cross multiply
   1,681.72x = 2,522.71 × 511.82
4. Step 4: Simplify right side
   1,681.72x = 1,291,173.43
5. Step 5: Solve for x
   x = 1,291,173.43/1,681.72
6. Step 6: Final answer
   x = 767.77