Finding the Fourth Proportional to 9,738.98, 14,612.12 and 5,056.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.98 : 14,612.12 = 5,056.07 : x
2. Step 2: Convert to fraction form
   9,738.98/14,612.12 = 5,056.07/x
3. Step 3: Cross multiply
   9,738.98x = 14,612.12 × 5,056.07
4. Step 4: Simplify right side
   9,738.98x = 73,879,918.60
5. Step 5: Solve for x
   x = 73,879,918.60/9,738.98
6. Step 6: Final answer
   x = 7,586.00