Finding the Fourth Proportional to 5,641.61, 7,786.16 and 3,404.76

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.61 : 7,786.16 = 3,404.76 : x
2. Step 2: Convert to fraction form
   5,641.61/7,786.16 = 3,404.76/x
3. Step 3: Cross multiply
   5,641.61x = 7,786.16 × 3,404.76
4. Step 4: Simplify right side
   5,641.61x = 26,509,972.67
5. Step 5: Solve for x
   x = 26,509,972.67/5,641.61
6. Step 6: Final answer
   x = 4,699.01