Finding the Fourth Proportional to 1,536.69, 2,305.60 and 920.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.69 : 2,305.60 = 920.83 : x
2. Step 2: Convert to fraction form
   1,536.69/2,305.60 = 920.83/x
3. Step 3: Cross multiply
   1,536.69x = 2,305.60 × 920.83
4. Step 4: Simplify right side
   1,536.69x = 2,123,065.65
5. Step 5: Solve for x
   x = 2,123,065.65/1,536.69
6. Step 6: Final answer
   x = 1,381.58