Finding the Fourth Proportional to 1,454.32, 2,007.00 and 856.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.32 : 2,007.00 = 856.84 : x
2. Step 2: Convert to fraction form
   1,454.32/2,007.00 = 856.84/x
3. Step 3: Cross multiply
   1,454.32x = 2,007.00 × 856.84
4. Step 4: Simplify right side
   1,454.32x = 1,719,673.60
5. Step 5: Solve for x
   x = 1,719,673.60/1,454.32
6. Step 6: Final answer
   x = 1,182.46