Finding the Fourth Proportional to 1,752.13, 2,625.89 and 826.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,752.13 : 2,625.89 = 826.43 : x
2. Step 2: Convert to fraction form
   1,752.13/2,625.89 = 826.43/x
3. Step 3: Cross multiply
   1,752.13x = 2,625.89 × 826.43
4. Step 4: Simplify right side
   1,752.13x = 2,170,111.37
5. Step 5: Solve for x
   x = 2,170,111.37/1,752.13
6. Step 6: Final answer
   x = 1,238.56