Finding the Fourth Proportional to 1,892.53, 2,611.29 and 1,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.53 : 2,611.29 = 1,193.50 : x
2. Step 2: Convert to fraction form
   1,892.53/2,611.29 = 1,193.50/x
3. Step 3: Cross multiply
   1,892.53x = 2,611.29 × 1,193.50
4. Step 4: Simplify right side
   1,892.53x = 3,116,574.62
5. Step 5: Solve for x
   x = 3,116,574.62/1,892.53
6. Step 6: Final answer
   x = 1,646.78