Finding the Fourth Proportional to 2,001.60, 2,998.42 and 1,566.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.60 : 2,998.42 = 1,566.72 : x
2. Step 2: Convert to fraction form
   2,001.60/2,998.42 = 1,566.72/x
3. Step 3: Cross multiply
   2,001.60x = 2,998.42 × 1,566.72
4. Step 4: Simplify right side
   2,001.60x = 4,697,684.58
5. Step 5: Solve for x
   x = 4,697,684.58/2,001.60
6. Step 6: Final answer
   x = 2,346.96