Finding the Fourth Proportional to 2,229.60, 3,075.86 and 1,566.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,229.60 : 3,075.86 = 1,566.89 : x
2. Step 2: Convert to fraction form
   2,229.60/3,075.86 = 1,566.89/x
3. Step 3: Cross multiply
   2,229.60x = 3,075.86 × 1,566.89
4. Step 4: Simplify right side
   2,229.60x = 4,819,522.81
5. Step 5: Solve for x
   x = 4,819,522.81/2,229.60
6. Step 6: Final answer
   x = 2,161.61