Finding the Fourth Proportional to 10,407.89, 14,362.89 and 5,692.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.89 : 14,362.89 = 5,692.16 : x
2. Step 2: Convert to fraction form
   10,407.89/14,362.89 = 5,692.16/x
3. Step 3: Cross multiply
   10,407.89x = 14,362.89 × 5,692.16
4. Step 4: Simplify right side
   10,407.89x = 81,755,867.94
5. Step 5: Solve for x
   x = 81,755,867.94/10,407.89
6. Step 6: Final answer
   x = 7,855.18