Finding the Fourth Proportional to 10,466.38, 15,694.35 and 3,802.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.38 : 15,694.35 = 3,802.60 : x
2. Step 2: Convert to fraction form
   10,466.38/15,694.35 = 3,802.60/x
3. Step 3: Cross multiply
   10,466.38x = 15,694.35 × 3,802.60
4. Step 4: Simplify right side
   10,466.38x = 59,679,335.31
5. Step 5: Solve for x
   x = 59,679,335.31/10,466.38
6. Step 6: Final answer
   x = 5,702.00