Finding the Fourth Proportional to 9,410.02, 12,991.46 and 5,878.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.02 : 12,991.46 = 5,878.02 : x
2. Step 2: Convert to fraction form
   9,410.02/12,991.46 = 5,878.02/x
3. Step 3: Cross multiply
   9,410.02x = 12,991.46 × 5,878.02
4. Step 4: Simplify right side
   9,410.02x = 76,364,057.56
5. Step 5: Solve for x
   x = 76,364,057.56/9,410.02
6. Step 6: Final answer
   x = 8,115.18