Finding the Fourth Proportional to 10,409.02, 14,364.15 and 5,692.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.02 : 14,364.15 = 5,692.99 : x
2. Step 2: Convert to fraction form
   10,409.02/14,364.15 = 5,692.99/x
3. Step 3: Cross multiply
   10,409.02x = 14,364.15 × 5,692.99
4. Step 4: Simplify right side
   10,409.02x = 81,774,962.31
5. Step 5: Solve for x
   x = 81,774,962.31/10,409.02
6. Step 6: Final answer
   x = 7,856.16