Finding the Fourth Proportional to 1,092.64, 1,507.86 and 595.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.64 : 1,507.86 = 595.31 : x
2. Step 2: Convert to fraction form
   1,092.64/1,507.86 = 595.31/x
3. Step 3: Cross multiply
   1,092.64x = 1,507.86 × 595.31
4. Step 4: Simplify right side
   1,092.64x = 897,636.60
5. Step 5: Solve for x
   x = 897,636.60/1,092.64
6. Step 6: Final answer
   x = 821.53