Finding the Fourth Proportional to 1,885.82, 2,826.43 and 788.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,885.82 : 2,826.43 = 788.90 : x
2. Step 2: Convert to fraction form
   1,885.82/2,826.43 = 788.90/x
3. Step 3: Cross multiply
   1,885.82x = 2,826.43 × 788.90
4. Step 4: Simplify right side
   1,885.82x = 2,229,754.52
5. Step 5: Solve for x
   x = 2,229,754.52/1,885.82
6. Step 6: Final answer
   x = 1,182.38