Finding the Fourth Proportional to 1,187.82, 1,639.98 and 746.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,187.82 : 1,639.98 = 746.40 : x
2. Step 2: Convert to fraction form
   1,187.82/1,639.98 = 746.40/x
3. Step 3: Cross multiply
   1,187.82x = 1,639.98 × 746.40
4. Step 4: Simplify right side
   1,187.82x = 1,224,081.07
5. Step 5: Solve for x
   x = 1,224,081.07/1,187.82
6. Step 6: Final answer
   x = 1,030.53