Finding the Fourth Proportional to 1,355.27, 2,032.71 and 522.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.27 : 2,032.71 = 522.12 : x
2. Step 2: Convert to fraction form
   1,355.27/2,032.71 = 522.12/x
3. Step 3: Cross multiply
   1,355.27x = 2,032.71 × 522.12
4. Step 4: Simplify right side
   1,355.27x = 1,061,316.59
5. Step 5: Solve for x
   x = 1,061,316.59/1,355.27
6. Step 6: Final answer
   x = 783.10