Finding the Fourth Proportional to 1,892.75, 2,835.14 and 1,764.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.75 : 2,835.14 = 1,764.59 : x
2. Step 2: Convert to fraction form
   1,892.75/2,835.14 = 1,764.59/x
3. Step 3: Cross multiply
   1,892.75x = 2,835.14 × 1,764.59
4. Step 4: Simplify right side
   1,892.75x = 5,002,836.69
5. Step 5: Solve for x
   x = 5,002,836.69/1,892.75
6. Step 6: Final answer
   x = 2,643.16