Finding the Fourth Proportional to 2,562.03, 3,533.70 and 1,566.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.03 : 3,533.70 = 1,566.49 : x
2. Step 2: Convert to fraction form
   2,562.03/3,533.70 = 1,566.49/x
3. Step 3: Cross multiply
   2,562.03x = 3,533.70 × 1,566.49
4. Step 4: Simplify right side
   2,562.03x = 5,535,505.71
5. Step 5: Solve for x
   x = 5,535,505.71/2,562.03
6. Step 6: Final answer
   x = 2,160.59