Finding the Fourth Proportional to 1,071.98, 1,605.84 and 522.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.98 : 1,605.84 = 522.51 : x
2. Step 2: Convert to fraction form
   1,071.98/1,605.84 = 522.51/x
3. Step 3: Cross multiply
   1,071.98x = 1,605.84 × 522.51
4. Step 4: Simplify right side
   1,071.98x = 839,067.46
5. Step 5: Solve for x
   x = 839,067.46/1,071.98
6. Step 6: Final answer
   x = 782.73