Finding the Fourth Proportional to 5,109.67, 7,662.48 and 1,776.93

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.67 : 7,662.48 = 1,776.93 : x
2. Step 2: Convert to fraction form
   5,109.67/7,662.48 = 1,776.93/x
3. Step 3: Cross multiply
   5,109.67x = 7,662.48 × 1,776.93
4. Step 4: Simplify right side
   5,109.67x = 13,615,690.59
5. Step 5: Solve for x
   x = 13,615,690.59/5,109.67
6. Step 6: Final answer
   x = 2,664.69