Finding the Fourth Proportional to 5,663.66, 8,498.94 and 3,580.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.66 : 8,498.94 = 3,580.78 : x
2. Step 2: Convert to fraction form
   5,663.66/8,498.94 = 3,580.78/x
3. Step 3: Cross multiply
   5,663.66x = 8,498.94 × 3,580.78
4. Step 4: Simplify right side
   5,663.66x = 30,432,834.37
5. Step 5: Solve for x
   x = 30,432,834.37/5,663.66
6. Step 6: Final answer
   x = 5,373.35