Finding the Fourth Proportional to 1,585.08, 2,366.79 and 1,419.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.08 : 2,366.79 = 1,419.48 : x
2. Step 2: Convert to fraction form
   1,585.08/2,366.79 = 1,419.48/x
3. Step 3: Cross multiply
   1,585.08x = 2,366.79 × 1,419.48
4. Step 4: Simplify right side
   1,585.08x = 3,359,611.07
5. Step 5: Solve for x
   x = 3,359,611.07/1,585.08
6. Step 6: Final answer
   x = 2,119.52