Finding the Fourth Proportional to 1,780.64, 2,454.72 and 1,583.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.64 : 2,454.72 = 1,583.84 : x
2. Step 2: Convert to fraction form
   1,780.64/2,454.72 = 1,583.84/x
3. Step 3: Cross multiply
   1,780.64x = 2,454.72 × 1,583.84
4. Step 4: Simplify right side
   1,780.64x = 3,887,883.72
5. Step 5: Solve for x
   x = 3,887,883.72/1,780.64
6. Step 6: Final answer
   x = 2,183.42