Finding the Fourth Proportional to 10,465.16, 14,444.42 and 5,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.16 : 14,444.42 = 5,991.50 : x
2. Step 2: Convert to fraction form
   10,465.16/14,444.42 = 5,991.50/x
3. Step 3: Cross multiply
   10,465.16x = 14,444.42 × 5,991.50
4. Step 4: Simplify right side
   10,465.16x = 86,543,748.58
5. Step 5: Solve for x
   x = 86,543,748.58/10,465.16
6. Step 6: Final answer
   x = 8,269.70