Finding the Fourth Proportional to 1,638.86, 2,459.35 and 773.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.86 : 2,459.35 = 773.22 : x
2. Step 2: Convert to fraction form
   1,638.86/2,459.35 = 773.22/x
3. Step 3: Cross multiply
   1,638.86x = 2,459.35 × 773.22
4. Step 4: Simplify right side
   1,638.86x = 1,901,618.61
5. Step 5: Solve for x
   x = 1,901,618.61/1,638.86
6. Step 6: Final answer
   x = 1,160.33