Finding the Fourth Proportional to 1,602.25, 2,384.69 and 1,586.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.25 : 2,384.69 = 1,586.86 : x
2. Step 2: Convert to fraction form
   1,602.25/2,384.69 = 1,586.86/x
3. Step 3: Cross multiply
   1,602.25x = 2,384.69 × 1,586.86
4. Step 4: Simplify right side
   1,602.25x = 3,784,164.20
5. Step 5: Solve for x
   x = 3,784,164.20/1,602.25
6. Step 6: Final answer
   x = 2,361.79