Finding the Fourth Proportional to 9,794.64, 14,692.92 and 2,870.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,794.64 : 14,692.92 = 2,870.16 : x
2. Step 2: Convert to fraction form
   9,794.64/14,692.92 = 2,870.16/x
3. Step 3: Cross multiply
   9,794.64x = 14,692.92 × 2,870.16
4. Step 4: Simplify right side
   9,794.64x = 42,171,031.27
5. Step 5: Solve for x
   x = 42,171,031.27/9,794.64
6. Step 6: Final answer
   x = 4,305.52