Finding the Fourth Proportional to 1,892.86, 2,611.30 and 1,106.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.86 : 2,611.30 = 1,106.56 : x
2. Step 2: Convert to fraction form
   1,892.86/2,611.30 = 1,106.56/x
3. Step 3: Cross multiply
   1,892.86x = 2,611.30 × 1,106.56
4. Step 4: Simplify right side
   1,892.86x = 2,889,560.13
5. Step 5: Solve for x
   x = 2,889,560.13/1,892.86
6. Step 6: Final answer
   x = 1,526.56