Finding the Fourth Proportional to 1,588.69, 2,378.25 and 856.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.69 : 2,378.25 = 856.05 : x
2. Step 2: Convert to fraction form
   1,588.69/2,378.25 = 856.05/x
3. Step 3: Cross multiply
   1,588.69x = 2,378.25 × 856.05
4. Step 4: Simplify right side
   1,588.69x = 2,035,900.91
5. Step 5: Solve for x
   x = 2,035,900.91/1,588.69
6. Step 6: Final answer
   x = 1,281.50