Finding the Fourth Proportional to 1,186.76, 1,773.33 and 856.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.76 : 1,773.33 = 856.10 : x
2. Step 2: Convert to fraction form
   1,186.76/1,773.33 = 856.10/x
3. Step 3: Cross multiply
   1,186.76x = 1,773.33 × 856.10
4. Step 4: Simplify right side
   1,186.76x = 1,518,147.81
5. Step 5: Solve for x
   x = 1,518,147.81/1,186.76
6. Step 6: Final answer
   x = 1,279.24