Finding the Fourth Proportional to 1,007.93, 1,510.74 and 596.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.93 : 1,510.74 = 596.31 : x
2. Step 2: Convert to fraction form
   1,007.93/1,510.74 = 596.31/x
3. Step 3: Cross multiply
   1,007.93x = 1,510.74 × 596.31
4. Step 4: Simplify right side
   1,007.93x = 900,869.37
5. Step 5: Solve for x
   x = 900,869.37/1,007.93
6. Step 6: Final answer
   x = 893.79