Finding the Fourth Proportional to 2,071.89, 2,857.06 and 1,599.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,071.89 : 2,857.06 = 1,599.86 : x
2. Step 2: Convert to fraction form
   2,071.89/2,857.06 = 1,599.86/x
3. Step 3: Cross multiply
   2,071.89x = 2,857.06 × 1,599.86
4. Step 4: Simplify right side
   2,071.89x = 4,570,888.12
5. Step 5: Solve for x
   x = 4,570,888.12/2,071.89
6. Step 6: Final answer
   x = 2,206.15