Finding the Fourth Proportional to 10,594.14, 14,619.69 and 5,878.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594.14 : 14,619.69 = 5,878.32 : x
2. Step 2: Convert to fraction form
   10,594.14/14,619.69 = 5,878.32/x
3. Step 3: Cross multiply
   10,594.14x = 14,619.69 × 5,878.32
4. Step 4: Simplify right side
   10,594.14x = 85,939,216.12
5. Step 5: Solve for x
   x = 85,939,216.12/10,594.14
6. Step 6: Final answer
   x = 8,111.96