Finding the Fourth Proportional to 5,109.82, 7,661.84 and 1,776.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.82 : 7,661.84 = 1,776.53 : x
2. Step 2: Convert to fraction form
   5,109.82/7,661.84 = 1,776.53/x
3. Step 3: Cross multiply
   5,109.82x = 7,661.84 × 1,776.53
4. Step 4: Simplify right side
   5,109.82x = 13,611,498.89
5. Step 5: Solve for x
   x = 13,611,498.89/5,109.82
6. Step 6: Final answer
   x = 2,663.79