Finding the Fourth Proportional to 2,533.16, 3,799.86 and 778.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.16 : 3,799.86 = 778.43 : x
2. Step 2: Convert to fraction form
   2,533.16/3,799.86 = 778.43/x
3. Step 3: Cross multiply
   2,533.16x = 3,799.86 × 778.43
4. Step 4: Simplify right side
   2,533.16x = 2,957,925.02
5. Step 5: Solve for x
   x = 2,957,925.02/2,533.16
6. Step 6: Final answer
   x = 1,167.68