Finding the Fourth Proportional to 12,705.84, 17,534.69 and 7,669.98

Step by Step Solution

1. Step 1: Write the proportion equation
   12,705.84 : 17,534.69 = 7,669.98 : x
2. Step 2: Convert to fraction form
   12,705.84/17,534.69 = 7,669.98/x
3. Step 3: Cross multiply
   12,705.84x = 17,534.69 × 7,669.98
4. Step 4: Simplify right side
   12,705.84x = 134,490,721.61
5. Step 5: Solve for x
   x = 134,490,721.61/12,705.84
6. Step 6: Final answer
   x = 10,584.95