Finding the Fourth Proportional to 6,907.68, 9,532.78 and 3,764.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,907.68 : 9,532.78 = 3,764.06 : x
2. Step 2: Convert to fraction form
   6,907.68/9,532.78 = 3,764.06/x
3. Step 3: Cross multiply
   6,907.68x = 9,532.78 × 3,764.06
4. Step 4: Simplify right side
   6,907.68x = 35,881,955.89
5. Step 5: Solve for x
   x = 35,881,955.89/6,907.68
6. Step 6: Final answer
   x = 5,194.50