Finding the Fourth Proportional to 2,075.68, 2,864.54 and 1,289.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.68 : 2,864.54 = 1,289.98 : x
2. Step 2: Convert to fraction form
   2,075.68/2,864.54 = 1,289.98/x
3. Step 3: Cross multiply
   2,075.68x = 2,864.54 × 1,289.98
4. Step 4: Simplify right side
   2,075.68x = 3,695,199.31
5. Step 5: Solve for x
   x = 3,695,199.31/2,075.68
6. Step 6: Final answer
   x = 1,780.24