Finding the Fourth Proportional to 1,586.30, 2,380.20 and 1,066.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.30 : 2,380.20 = 1,066.55 : x
2. Step 2: Convert to fraction form
   1,586.30/2,380.20 = 1,066.55/x
3. Step 3: Cross multiply
   1,586.30x = 2,380.20 × 1,066.55
4. Step 4: Simplify right side
   1,586.30x = 2,538,602.31
5. Step 5: Solve for x
   x = 2,538,602.31/1,586.30
6. Step 6: Final answer
   x = 1,600.33