Finding the Fourth Proportional to 1,892.50, 2,611.65 and 1,106.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.50 : 2,611.65 = 1,106.98 : x
2. Step 2: Convert to fraction form
   1,892.50/2,611.65 = 1,106.98/x
3. Step 3: Cross multiply
   1,892.50x = 2,611.65 × 1,106.98
4. Step 4: Simplify right side
   1,892.50x = 2,891,044.32
5. Step 5: Solve for x
   x = 2,891,044.32/1,892.50
6. Step 6: Final answer
   x = 1,527.63