Finding the Fourth Proportional to 10,585.56, 14,608.02 and 5,870.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.56 : 14,608.02 = 5,870.64 : x
2. Step 2: Convert to fraction form
   10,585.56/14,608.02 = 5,870.64/x
3. Step 3: Cross multiply
   10,585.56x = 14,608.02 × 5,870.64
4. Step 4: Simplify right side
   10,585.56x = 85,758,426.53
5. Step 5: Solve for x
   x = 85,758,426.53/10,585.56
6. Step 6: Final answer
   x = 8,101.45