Finding the Fourth Proportional to 814,208, 1,123,607.52 and 496,256

Step by Step Solution

1. Step 1: Write the proportion equation
   814,208 : 1,123,607.52 = 496,256 : x
2. Step 2: Convert to fraction form
   814,208/1,123,607.52 = 496,256/x
3. Step 3: Cross multiply
   814,208x = 1,123,607.52 × 496,256
4. Step 4: Simplify right side
   814,208x = 557,596,973,445.12
5. Step 5: Solve for x
   x = 557,596,973,445.12/814,208
6. Step 6: Final answer
   x = 684,833.57