Finding the Fourth Proportional to 1,109.76, 1,661.76 and 762.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.76 : 1,661.76 = 762.32 : x
2. Step 2: Convert to fraction form
   1,109.76/1,661.76 = 762.32/x
3. Step 3: Cross multiply
   1,109.76x = 1,661.76 × 762.32
4. Step 4: Simplify right side
   1,109.76x = 1,266,792.88
5. Step 5: Solve for x
   x = 1,266,792.88/1,109.76
6. Step 6: Final answer
   x = 1,141.50