Finding the Fourth Proportional to 1,705.00, 2,555.61 and 1,566.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.00 : 2,555.61 = 1,566.60 : x
2. Step 2: Convert to fraction form
   1,705.00/2,555.61 = 1,566.60/x
3. Step 3: Cross multiply
   1,705.00x = 2,555.61 × 1,566.60
4. Step 4: Simplify right side
   1,705.00x = 4,003,614.76
5. Step 5: Solve for x
   x = 4,003,614.76/1,705.00
6. Step 6: Final answer
   x = 2,348.16