Finding the Fourth Proportional to 12,776.96, 17,638.32 and 7,470.08

Step by Step Solution

1. Step 1: Write the proportion equation
   12,776.96 : 17,638.32 = 7,470.08 : x
2. Step 2: Convert to fraction form
   12,776.96/17,638.32 = 7,470.08/x
3. Step 3: Cross multiply
   12,776.96x = 17,638.32 × 7,470.08
4. Step 4: Simplify right side
   12,776.96x = 131,759,661.47
5. Step 5: Solve for x
   x = 131,759,661.47/12,776.96
6. Step 6: Final answer
   x = 10,312.29