Finding the Fourth Proportional to 1,565.05, 2,158.82 and 1,191.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.05 : 2,158.82 = 1,191.89 : x
2. Step 2: Convert to fraction form
   1,565.05/2,158.82 = 1,191.89/x
3. Step 3: Cross multiply
   1,565.05x = 2,158.82 × 1,191.89
4. Step 4: Simplify right side
   1,565.05x = 2,573,075.97
5. Step 5: Solve for x
   x = 2,573,075.97/1,565.05
6. Step 6: Final answer
   x = 1,644.09