Finding the Fourth Proportional to 10,590.50, 14,614.89 and 5,875.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.50 : 14,614.89 = 5,875.76 : x
2. Step 2: Convert to fraction form
   10,590.50/14,614.89 = 5,875.76/x
3. Step 3: Cross multiply
   10,590.50x = 14,614.89 × 5,875.76
4. Step 4: Simplify right side
   10,590.50x = 85,873,586.07
5. Step 5: Solve for x
   x = 85,873,586.07/10,590.50
6. Step 6: Final answer
   x = 8,108.55