Finding the Fourth Proportional to 10,590.89, 14,616.23 and 5,875.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.89 : 14,616.23 = 5,875.16 : x
2. Step 2: Convert to fraction form
   10,590.89/14,616.23 = 5,875.16/x
3. Step 3: Cross multiply
   10,590.89x = 14,616.23 × 5,875.16
4. Step 4: Simplify right side
   10,590.89x = 85,872,587.39
5. Step 5: Solve for x
   x = 85,872,587.39/10,590.89
6. Step 6: Final answer
   x = 8,108.16