Finding the Fourth Proportional to 10,407.90, 14,362.17 and 5,692.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.90 : 14,362.17 = 5,692.08 : x
2. Step 2: Convert to fraction form
   10,407.90/14,362.17 = 5,692.08/x
3. Step 3: Cross multiply
   10,407.90x = 14,362.17 × 5,692.08
4. Step 4: Simplify right side
   10,407.90x = 81,750,620.61
5. Step 5: Solve for x
   x = 81,750,620.61/10,407.90
6. Step 6: Final answer
   x = 7,854.67