Finding the Fourth Proportional to 1,092.63, 1,507.83 and 595.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.63 : 1,507.83 = 595.26 : x
2. Step 2: Convert to fraction form
   1,092.63/1,507.83 = 595.26/x
3. Step 3: Cross multiply
   1,092.63x = 1,507.83 × 595.26
4. Step 4: Simplify right side
   1,092.63x = 897,550.89
5. Step 5: Solve for x
   x = 897,550.89/1,092.63
6. Step 6: Final answer
   x = 821.46