Finding the Fourth Proportional to 1,181.88, 1,770.18 and 856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.88 : 1,770.18 = 856.50 : x
2. Step 2: Convert to fraction form
   1,181.88/1,770.18 = 856.50/x
3. Step 3: Cross multiply
   1,181.88x = 1,770.18 × 856.50
4. Step 4: Simplify right side
   1,181.88x = 1,516,159.17
5. Step 5: Solve for x
   x = 1,516,159.17/1,181.88
6. Step 6: Final answer
   x = 1,282.84