Finding the Fourth Proportional to 12,585.12, 18,877.56 and 3,820

Step by Step Solution

1. Step 1: Write the proportion equation
   12,585.12 : 18,877.56 = 3,820 : x
2. Step 2: Convert to fraction form
   12,585.12/18,877.56 = 3,820/x
3. Step 3: Cross multiply
   12,585.12x = 18,877.56 × 3,820
4. Step 4: Simplify right side
   12,585.12x = 72,112,279.20
5. Step 5: Solve for x
   x = 72,112,279.20/12,585.12
6. Step 6: Final answer
   x = 5,729.96