Finding the Fourth Proportional to 1,541.34, 2,314.80 and 1,412.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.34 : 2,314.80 = 1,412.82 : x
2. Step 2: Convert to fraction form
   1,541.34/2,314.80 = 1,412.82/x
3. Step 3: Cross multiply
   1,541.34x = 2,314.80 × 1,412.82
4. Step 4: Simplify right side
   1,541.34x = 3,270,395.74
5. Step 5: Solve for x
   x = 3,270,395.74/1,541.34
6. Step 6: Final answer
   x = 2,121.79