Finding the Fourth Proportional to 1,188.38, 1,640.15 and 746.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.38 : 1,640.15 = 746.34 : x
2. Step 2: Convert to fraction form
   1,188.38/1,640.15 = 746.34/x
3. Step 3: Cross multiply
   1,188.38x = 1,640.15 × 746.34
4. Step 4: Simplify right side
   1,188.38x = 1,224,109.55
5. Step 5: Solve for x
   x = 1,224,109.55/1,188.38
6. Step 6: Final answer
   x = 1,030.07