Finding the Fourth Proportional to 1,071.42, 1,605.54 and 522.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.42 : 1,605.54 = 522.98 : x
2. Step 2: Convert to fraction form
   1,071.42/1,605.54 = 522.98/x
3. Step 3: Cross multiply
   1,071.42x = 1,605.54 × 522.98
4. Step 4: Simplify right side
   1,071.42x = 839,665.31
5. Step 5: Solve for x
   x = 839,665.31/1,071.42
6. Step 6: Final answer
   x = 783.69