Finding the Fourth Proportional to 1,006.38, 1,507.69 and 594.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.38 : 1,507.69 = 594.29 : x
2. Step 2: Convert to fraction form
   1,006.38/1,507.69 = 594.29/x
3. Step 3: Cross multiply
   1,006.38x = 1,507.69 × 594.29
4. Step 4: Simplify right side
   1,006.38x = 895,994.58
5. Step 5: Solve for x
   x = 895,994.58/1,006.38
6. Step 6: Final answer
   x = 890.32