Finding the Fourth Proportional to 9,925.57, 13,696.27 and 5,946.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,925.57 : 13,696.27 = 5,946.58 : x
2. Step 2: Convert to fraction form
   9,925.57/13,696.27 = 5,946.58/x
3. Step 3: Cross multiply
   9,925.57x = 13,696.27 × 5,946.58
4. Step 4: Simplify right side
   9,925.57x = 81,446,006.93
5. Step 5: Solve for x
   x = 81,446,006.93/9,925.57
6. Step 6: Final answer
   x = 8,205.67