Finding the Fourth Proportional to 1,302.48, 1,953.72 and 522.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.48 : 1,953.72 = 522.82 : x
2. Step 2: Convert to fraction form
   1,302.48/1,953.72 = 522.82/x
3. Step 3: Cross multiply
   1,302.48x = 1,953.72 × 522.82
4. Step 4: Simplify right side
   1,302.48x = 1,021,443.89
5. Step 5: Solve for x
   x = 1,021,443.89/1,302.48
6. Step 6: Final answer
   x = 784.23