Finding the Fourth Proportional to 1,769.86, 2,442.81 and 1,147.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769.86 : 2,442.81 = 1,147.78 : x
2. Step 2: Convert to fraction form
   1,769.86/2,442.81 = 1,147.78/x
3. Step 3: Cross multiply
   1,769.86x = 2,442.81 × 1,147.78
4. Step 4: Simplify right side
   1,769.86x = 2,803,808.46
5. Step 5: Solve for x
   x = 2,803,808.46/1,769.86
6. Step 6: Final answer
   x = 1,584.20