Finding the Fourth Proportional to 1,075.86, 1,485.98 and 826.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.86 : 1,485.98 = 826.58 : x
2. Step 2: Convert to fraction form
   1,075.86/1,485.98 = 826.58/x
3. Step 3: Cross multiply
   1,075.86x = 1,485.98 × 826.58
4. Step 4: Simplify right side
   1,075.86x = 1,228,281.35
5. Step 5: Solve for x
   x = 1,228,281.35/1,075.86
6. Step 6: Final answer
   x = 1,141.67