Finding the Fourth Proportional to 10,585.64, 14,607.96 and 5,869.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.64 : 14,607.96 = 5,869.82 : x
2. Step 2: Convert to fraction form
   10,585.64/14,607.96 = 5,869.82/x
3. Step 3: Cross multiply
   10,585.64x = 14,607.96 × 5,869.82
4. Step 4: Simplify right side
   10,585.64x = 85,746,095.77
5. Step 5: Solve for x
   x = 85,746,095.77/10,585.64
6. Step 6: Final answer
   x = 8,100.23