Finding the Fourth Proportional to 1,382.89, 2,075.20 and 561.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.89 : 2,075.20 = 561.16 : x
2. Step 2: Convert to fraction form
   1,382.89/2,075.20 = 561.16/x
3. Step 3: Cross multiply
   1,382.89x = 2,075.20 × 561.16
4. Step 4: Simplify right side
   1,382.89x = 1,164,516.43
5. Step 5: Solve for x
   x = 1,164,516.43/1,382.89
6. Step 6: Final answer
   x = 842.09