Finding the Fourth Proportional to 9,925.88, 13,696.71 and 5,946.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,925.88 : 13,696.71 = 5,946.89 : x
2. Step 2: Convert to fraction form
   9,925.88/13,696.71 = 5,946.89/x
3. Step 3: Cross multiply
   9,925.88x = 13,696.71 × 5,946.89
4. Step 4: Simplify right side
   9,925.88x = 81,452,827.73
5. Step 5: Solve for x
   x = 81,452,827.73/9,925.88
6. Step 6: Final answer
   x = 8,206.11