Finding the Fourth Proportional to 1,200.10, 1,655.49 and 826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.10 : 1,655.49 = 826.42 : x
2. Step 2: Convert to fraction form
   1,200.10/1,655.49 = 826.42/x
3. Step 3: Cross multiply
   1,200.10x = 1,655.49 × 826.42
4. Step 4: Simplify right side
   1,200.10x = 1,368,130.05
5. Step 5: Solve for x
   x = 1,368,130.05/1,200.10
6. Step 6: Final answer
   x = 1,140.01