Finding the Fourth Proportional to 1,594.95, 2,200.82 and 1,005.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,594.95 : 2,200.82 = 1,005.38 : x
2. Step 2: Convert to fraction form
   1,594.95/2,200.82 = 1,005.38/x
3. Step 3: Cross multiply
   1,594.95x = 2,200.82 × 1,005.38
4. Step 4: Simplify right side
   1,594.95x = 2,212,644.38
5. Step 5: Solve for x
   x = 2,212,644.38/1,594.95
6. Step 6: Final answer
   x = 1,387.28