Finding the Fourth Proportional to 6,971.61, 10,462.59 and 3,854.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,971.61 : 10,462.59 = 3,854.30 : x
2. Step 2: Convert to fraction form
   6,971.61/10,462.59 = 3,854.30/x
3. Step 3: Cross multiply
   6,971.61x = 10,462.59 × 3,854.30
4. Step 4: Simplify right side
   6,971.61x = 40,325,980.60
5. Step 5: Solve for x
   x = 40,325,980.60/6,971.61
6. Step 6: Final answer
   x = 5,784.31