Finding the Fourth Proportional to 1,179.83, 1,770.42 and 1,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179.83 : 1,770.42 = 1,116.50 : x
2. Step 2: Convert to fraction form
   1,179.83/1,770.42 = 1,116.50/x
3. Step 3: Cross multiply
   1,179.83x = 1,770.42 × 1,116.50
4. Step 4: Simplify right side
   1,179.83x = 1,976,669.26
5. Step 5: Solve for x
   x = 1,976,669.26/1,179.83
6. Step 6: Final answer
   x = 1,675.38