Finding the Fourth Proportional to 9,471.82, 13,071.14 and 5,697.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.82 : 13,071.14 = 5,697.15 : x
2. Step 2: Convert to fraction form
   9,471.82/13,071.14 = 5,697.15/x
3. Step 3: Cross multiply
   9,471.82x = 13,071.14 × 5,697.15
4. Step 4: Simplify right side
   9,471.82x = 74,468,245.25
5. Step 5: Solve for x
   x = 74,468,245.25/9,471.82
6. Step 6: Final answer
   x = 7,862.08