Finding the Fourth Proportional to 1,141.76, 1,574.52 and 920

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.76 : 1,574.52 = 920 : x
2. Step 2: Convert to fraction form
   1,141.76/1,574.52 = 920/x
3. Step 3: Cross multiply
   1,141.76x = 1,574.52 × 920
4. Step 4: Simplify right side
   1,141.76x = 1,448,558.40
5. Step 5: Solve for x
   x = 1,448,558.40/1,141.76
6. Step 6: Final answer
   x = 1,268.71