Finding the Fourth Proportional to 1,188.42, 1,640.37 and 746.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.42 : 1,640.37 = 746.31 : x
2. Step 2: Convert to fraction form
   1,188.42/1,640.37 = 746.31/x
3. Step 3: Cross multiply
   1,188.42x = 1,640.37 × 746.31
4. Step 4: Simplify right side
   1,188.42x = 1,224,224.53
5. Step 5: Solve for x
   x = 1,224,224.53/1,188.42
6. Step 6: Final answer
   x = 1,030.13