Finding the Fourth Proportional to 10,407.78, 14,362.85 and 5,692.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.78 : 14,362.85 = 5,692.05 : x
2. Step 2: Convert to fraction form
   10,407.78/14,362.85 = 5,692.05/x
3. Step 3: Cross multiply
   10,407.78x = 14,362.85 × 5,692.05
4. Step 4: Simplify right side
   10,407.78x = 81,754,060.34
5. Step 5: Solve for x
   x = 81,754,060.34/10,407.78
6. Step 6: Final answer
   x = 7,855.09