Finding the Fourth Proportional to 1,892.56, 2,611.72 and 1,106.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.56 : 2,611.72 = 1,106.96 : x
2. Step 2: Convert to fraction form
   1,892.56/2,611.72 = 1,106.96/x
3. Step 3: Cross multiply
   1,892.56x = 2,611.72 × 1,106.96
4. Step 4: Simplify right side
   1,892.56x = 2,891,069.57
5. Step 5: Solve for x
   x = 2,891,069.57/1,892.56
6. Step 6: Final answer
   x = 1,527.60