Finding the Fourth Proportional to 22,766, 31,417.32 and 12,830

Step by Step Solution

1. Step 1: Write the proportion equation
   22,766 : 31,417.32 = 12,830 : x
2. Step 2: Convert to fraction form
   22,766/31,417.32 = 12,830/x
3. Step 3: Cross multiply
   22,766x = 31,417.32 × 12,830
4. Step 4: Simplify right side
   22,766x = 403,084,215.60
5. Step 5: Solve for x
   x = 403,084,215.60/22,766
6. Step 6: Final answer
   x = 17,705.54