Finding the Fourth Proportional to 2,585.64, 3,877.32 and 830.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.64 : 3,877.32 = 830.34 : x
2. Step 2: Convert to fraction form
   2,585.64/3,877.32 = 830.34/x
3. Step 3: Cross multiply
   2,585.64x = 3,877.32 × 830.34
4. Step 4: Simplify right side
   2,585.64x = 3,219,493.89
5. Step 5: Solve for x
   x = 3,219,493.89/2,585.64
6. Step 6: Final answer
   x = 1,245.14