Finding the Fourth Proportional to 9,817.56, 14,726.46 and 2,892.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,817.56 : 14,726.46 = 2,892.20 : x
2. Step 2: Convert to fraction form
   9,817.56/14,726.46 = 2,892.20/x
3. Step 3: Cross multiply
   9,817.56x = 14,726.46 × 2,892.20
4. Step 4: Simplify right side
   9,817.56x = 42,591,867.61
5. Step 5: Solve for x
   x = 42,591,867.61/9,817.56
6. Step 6: Final answer
   x = 4,338.34