Finding the Fourth Proportional to 1,699.82, 2,547.57 and 775.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,699.82 : 2,547.57 = 775.88 : x
2. Step 2: Convert to fraction form
   1,699.82/2,547.57 = 775.88/x
3. Step 3: Cross multiply
   1,699.82x = 2,547.57 × 775.88
4. Step 4: Simplify right side
   1,699.82x = 1,976,608.61
5. Step 5: Solve for x
   x = 1,976,608.61/1,699.82
6. Step 6: Final answer
   x = 1,162.83