Finding the Fourth Proportional to 10,492.11, 14,478.57 and 5,776.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.11 : 14,478.57 = 5,776.56 : x
2. Step 2: Convert to fraction form
   10,492.11/14,478.57 = 5,776.56/x
3. Step 3: Cross multiply
   10,492.11x = 14,478.57 × 5,776.56
4. Step 4: Simplify right side
   10,492.11x = 83,636,328.32
5. Step 5: Solve for x
   x = 83,636,328.32/10,492.11
6. Step 6: Final answer
   x = 7,971.35