Finding the Fourth Proportional to 2,116.56, 2,920.80 and 1,185.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.56 : 2,920.80 = 1,185.12 : x
2. Step 2: Convert to fraction form
   2,116.56/2,920.80 = 1,185.12/x
3. Step 3: Cross multiply
   2,116.56x = 2,920.80 × 1,185.12
4. Step 4: Simplify right side
   2,116.56x = 3,461,498.50
5. Step 5: Solve for x
   x = 3,461,498.50/2,116.56
6. Step 6: Final answer
   x = 1,635.44