Finding the Fourth Proportional to 1,353.09, 1,867.62 and 763.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.09 : 1,867.62 = 763.82 : x
2. Step 2: Convert to fraction form
   1,353.09/1,867.62 = 763.82/x
3. Step 3: Cross multiply
   1,353.09x = 1,867.62 × 763.82
4. Step 4: Simplify right side
   1,353.09x = 1,426,525.51
5. Step 5: Solve for x
   x = 1,426,525.51/1,353.09
6. Step 6: Final answer
   x = 1,054.27