Finding the Fourth Proportional to 10,301.57, 14,216.18 and 5,585.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,301.57 : 14,216.18 = 5,585.86 : x
2. Step 2: Convert to fraction form
   10,301.57/14,216.18 = 5,585.86/x
3. Step 3: Cross multiply
   10,301.57x = 14,216.18 × 5,585.86
4. Step 4: Simplify right side
   10,301.57x = 79,409,532.51
5. Step 5: Solve for x
   x = 79,409,532.51/10,301.57
6. Step 6: Final answer
   x = 7,708.49