Finding the Fourth Proportional to 9,471.81, 13,071.02 and 5,164.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.81 : 13,071.02 = 5,164.91 : x
2. Step 2: Convert to fraction form
   9,471.81/13,071.02 = 5,164.91/x
3. Step 3: Cross multiply
   9,471.81x = 13,071.02 × 5,164.91
4. Step 4: Simplify right side
   9,471.81x = 67,510,589.47
5. Step 5: Solve for x
   x = 67,510,589.47/9,471.81
6. Step 6: Final answer
   x = 7,127.53