Finding the Fourth Proportional to 1,188.47, 1,640.18 and 746.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.47 : 1,640.18 = 746.82 : x
2. Step 2: Convert to fraction form
   1,188.47/1,640.18 = 746.82/x
3. Step 3: Cross multiply
   1,188.47x = 1,640.18 × 746.82
4. Step 4: Simplify right side
   1,188.47x = 1,224,911.03
5. Step 5: Solve for x
   x = 1,224,911.03/1,188.47
6. Step 6: Final answer
   x = 1,030.67