Finding the Fourth Proportional to 1,505.22, 2,075.67 and 1,256.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.22 : 2,075.67 = 1,256.46 : x
2. Step 2: Convert to fraction form
   1,505.22/2,075.67 = 1,256.46/x
3. Step 3: Cross multiply
   1,505.22x = 2,075.67 × 1,256.46
4. Step 4: Simplify right side
   1,505.22x = 2,607,996.33
5. Step 5: Solve for x
   x = 2,607,996.33/1,505.22
6. Step 6: Final answer
   x = 1,732.63