Finding the Fourth Proportional to 1,005.36, 1,510.89 and 594.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.36 : 1,510.89 = 594.57 : x
2. Step 2: Convert to fraction form
   1,005.36/1,510.89 = 594.57/x
3. Step 3: Cross multiply
   1,005.36x = 1,510.89 × 594.57
4. Step 4: Simplify right side
   1,005.36x = 898,329.87
5. Step 5: Solve for x
   x = 898,329.87/1,005.36
6. Step 6: Final answer
   x = 893.54