Finding the Fourth Proportional to 2,560.80, 3,532.34 and 1,566.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.80 : 3,532.34 = 1,566.12 : x
2. Step 2: Convert to fraction form
   2,560.80/3,532.34 = 1,566.12/x
3. Step 3: Cross multiply
   2,560.80x = 3,532.34 × 1,566.12
4. Step 4: Simplify right side
   2,560.80x = 5,532,068.32
5. Step 5: Solve for x
   x = 5,532,068.32/2,560.80
6. Step 6: Final answer
   x = 2,160.29