Finding the Fourth Proportional to 10,709.75, 14,779.46 and 5,994

Step by Step Solution

1. Step 1: Write the proportion equation
   10,709.75 : 14,779.46 = 5,994 : x
2. Step 2: Convert to fraction form
   10,709.75/14,779.46 = 5,994/x
3. Step 3: Cross multiply
   10,709.75x = 14,779.46 × 5,994
4. Step 4: Simplify right side
   10,709.75x = 88,588,098.23
5. Step 5: Solve for x
   x = 88,588,098.23/10,709.75
6. Step 6: Final answer
   x = 8,271.72