Finding the Fourth Proportional to 1,302.47, 1,953.71 and 522.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,302.47 : 1,953.71 = 522.83 : x
2. Step 2: Convert to fraction form
   1,302.47/1,953.71 = 522.83/x
3. Step 3: Cross multiply
   1,302.47x = 1,953.71 × 522.83
4. Step 4: Simplify right side
   1,302.47x = 1,021,445.82
5. Step 5: Solve for x
   x = 1,021,445.82/1,302.47
6. Step 6: Final answer
   x = 784.24