Finding the Fourth Proportional to 1,892.64, 2,611.42 and 1,106.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.64 : 2,611.42 = 1,106.32 : x
2. Step 2: Convert to fraction form
   1,892.64/2,611.42 = 1,106.32/x
3. Step 3: Cross multiply
   1,892.64x = 2,611.42 × 1,106.32
4. Step 4: Simplify right side
   1,892.64x = 2,889,066.17
5. Step 5: Solve for x
   x = 2,889,066.17/1,892.64
6. Step 6: Final answer
   x = 1,526.47