Finding the Fourth Proportional to 1,525.61, 2,105.34 and 826.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.61 : 2,105.34 = 826.98 : x
2. Step 2: Convert to fraction form
   1,525.61/2,105.34 = 826.98/x
3. Step 3: Cross multiply
   1,525.61x = 2,105.34 × 826.98
4. Step 4: Simplify right side
   1,525.61x = 1,741,070.97
5. Step 5: Solve for x
   x = 1,741,070.97/1,525.61
6. Step 6: Final answer
   x = 1,141.23