Finding the Fourth Proportional to 1,152.05, 1,589.32 and 778.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.05 : 1,589.32 = 778.89 : x
2. Step 2: Convert to fraction form
   1,152.05/1,589.32 = 778.89/x
3. Step 3: Cross multiply
   1,152.05x = 1,589.32 × 778.89
4. Step 4: Simplify right side
   1,152.05x = 1,237,905.45
5. Step 5: Solve for x
   x = 1,237,905.45/1,152.05
6. Step 6: Final answer
   x = 1,074.53