Finding the Fourth Proportional to 1,407.57, 1,941.48 and 1,075.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.57 : 1,941.48 = 1,075.41 : x
2. Step 2: Convert to fraction form
   1,407.57/1,941.48 = 1,075.41/x
3. Step 3: Cross multiply
   1,407.57x = 1,941.48 × 1,075.41
4. Step 4: Simplify right side
   1,407.57x = 2,087,887.01
5. Step 5: Solve for x
   x = 2,087,887.01/1,407.57
6. Step 6: Final answer
   x = 1,483.33