Finding the Fourth Proportional to 10,407.84, 14,362.82 and 5,692.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.84 : 14,362.82 = 5,692.12 : x
2. Step 2: Convert to fraction form
   10,407.84/14,362.82 = 5,692.12/x
3. Step 3: Cross multiply
   10,407.84x = 14,362.82 × 5,692.12
4. Step 4: Simplify right side
   10,407.84x = 81,754,894.98
5. Step 5: Solve for x
   x = 81,754,894.98/10,407.84
6. Step 6: Final answer
   x = 7,855.13