Finding the Fourth Proportional to 1,546.58, 2,321.15 and 766.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.58 : 2,321.15 = 766.55 : x
2. Step 2: Convert to fraction form
   1,546.58/2,321.15 = 766.55/x
3. Step 3: Cross multiply
   1,546.58x = 2,321.15 × 766.55
4. Step 4: Simplify right side
   1,546.58x = 1,779,279.50
5. Step 5: Solve for x
   x = 1,779,279.50/1,546.58
6. Step 6: Final answer
   x = 1,150.46