Finding the Fourth Proportional to 9,905.55, 14,829.59 and 7,707.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,905.55 : 14,829.59 = 7,707.61 : x
2. Step 2: Convert to fraction form
   9,905.55/14,829.59 = 7,707.61/x
3. Step 3: Cross multiply
   9,905.55x = 14,829.59 × 7,707.61
4. Step 4: Simplify right side
   9,905.55x = 114,300,696.18
5. Step 5: Solve for x
   x = 114,300,696.18/9,905.55
6. Step 6: Final answer
   x = 11,539.06