Finding the Fourth Proportional to 6,946.49, 10,419.69 and 5,904.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,946.49 : 10,419.69 = 5,904.02 : x
2. Step 2: Convert to fraction form
   6,946.49/10,419.69 = 5,904.02/x
3. Step 3: Cross multiply
   6,946.49x = 10,419.69 × 5,904.02
4. Step 4: Simplify right side
   6,946.49x = 61,518,073.13
5. Step 5: Solve for x
   x = 61,518,073.13/6,946.49
6. Step 6: Final answer
   x = 8,855.99