Finding the Fourth Proportional to 10,569.60, 14,584.56 and 5,854.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569.60 : 14,584.56 = 5,854.16 : x
2. Step 2: Convert to fraction form
   10,569.60/14,584.56 = 5,854.16/x
3. Step 3: Cross multiply
   10,569.60x = 14,584.56 × 5,854.16
4. Step 4: Simplify right side
   10,569.60x = 85,380,347.77
5. Step 5: Solve for x
   x = 85,380,347.77/10,569.60
6. Step 6: Final answer
   x = 8,077.92