Finding the Fourth Proportional to 1,141.13, 1,709.83 and 866.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.13 : 1,709.83 = 866.87 : x
2. Step 2: Convert to fraction form
   1,141.13/1,709.83 = 866.87/x
3. Step 3: Cross multiply
   1,141.13x = 1,709.83 × 866.87
4. Step 4: Simplify right side
   1,141.13x = 1,482,200.33
5. Step 5: Solve for x
   x = 1,482,200.33/1,141.13
6. Step 6: Final answer
   x = 1,298.89