Finding the Fourth Proportional to 3,774.66, 5,623.73 and 3,588.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,774.66 : 5,623.73 = 3,588.77 : x
2. Step 2: Convert to fraction form
   3,774.66/5,623.73 = 3,588.77/x
3. Step 3: Cross multiply
   3,774.66x = 5,623.73 × 3,588.77
4. Step 4: Simplify right side
   3,774.66x = 20,182,227.45
5. Step 5: Solve for x
   x = 20,182,227.45/3,774.66
6. Step 6: Final answer
   x = 5,346.77