Finding the Fourth Proportional to 1,302.78, 1,953.49 and 522.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.78 : 1,953.49 = 522.15 : x
2. Step 2: Convert to fraction form
   1,302.78/1,953.49 = 522.15/x
3. Step 3: Cross multiply
   1,302.78x = 1,953.49 × 522.15
4. Step 4: Simplify right side
   1,302.78x = 1,020,008.62
5. Step 5: Solve for x
   x = 1,020,008.62/1,302.78
6. Step 6: Final answer
   x = 782.95