Finding the Fourth Proportional to 1,181.34, 1,780.86 and 1,102.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.34 : 1,780.86 = 1,102.05 : x
2. Step 2: Convert to fraction form
   1,181.34/1,780.86 = 1,102.05/x
3. Step 3: Cross multiply
   1,181.34x = 1,780.86 × 1,102.05
4. Step 4: Simplify right side
   1,181.34x = 1,962,591.25
5. Step 5: Solve for x
   x = 1,962,591.25/1,181.34
6. Step 6: Final answer
   x = 1,661.33