Finding the Fourth Proportional to 9,461.81, 13,054.37 and 5,685.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,461.81 : 13,054.37 = 5,685.84 : x
2. Step 2: Convert to fraction form
   9,461.81/13,054.37 = 5,685.84/x
3. Step 3: Cross multiply
   9,461.81x = 13,054.37 × 5,685.84
4. Step 4: Simplify right side
   9,461.81x = 74,225,030.69
5. Step 5: Solve for x
   x = 74,225,030.69/9,461.81
6. Step 6: Final answer
   x = 7,844.69