Finding the Fourth Proportional to 6,384.58, 9,566.40 and 3,914.17

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384.58 : 9,566.40 = 3,914.17 : x
2. Step 2: Convert to fraction form
   6,384.58/9,566.40 = 3,914.17/x
3. Step 3: Cross multiply
   6,384.58x = 9,566.40 × 3,914.17
4. Step 4: Simplify right side
   6,384.58x = 37,444,515.89
5. Step 5: Solve for x
   x = 37,444,515.89/6,384.58
6. Step 6: Final answer
   x = 5,864.84