Finding the Fourth Proportional to 1,883.72, 2,826.18 and 788.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,883.72 : 2,826.18 = 788.40 : x
2. Step 2: Convert to fraction form
   1,883.72/2,826.18 = 788.40/x
3. Step 3: Cross multiply
   1,883.72x = 2,826.18 × 788.40
4. Step 4: Simplify right side
   1,883.72x = 2,228,160.31
5. Step 5: Solve for x
   x = 2,228,160.31/1,883.72
6. Step 6: Final answer
   x = 1,182.85