Finding the Fourth Proportional to 9,464.65, 13,060.58 and 5,685.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,464.65 : 13,060.58 = 5,685.57 : x
2. Step 2: Convert to fraction form
   9,464.65/13,060.58 = 5,685.57/x
3. Step 3: Cross multiply
   9,464.65x = 13,060.58 × 5,685.57
4. Step 4: Simplify right side
   9,464.65x = 74,256,856.04
5. Step 5: Solve for x
   x = 74,256,856.04/9,464.65
6. Step 6: Final answer
   x = 7,845.71