Finding the Fourth Proportional to 10,492.62, 14,479.83 and 5,776.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.62 : 14,479.83 = 5,776.90 : x
2. Step 2: Convert to fraction form
   10,492.62/14,479.83 = 5,776.90/x
3. Step 3: Cross multiply
   10,492.62x = 14,479.83 × 5,776.90
4. Step 4: Simplify right side
   10,492.62x = 83,648,575.18
5. Step 5: Solve for x
   x = 83,648,575.18/10,492.62
6. Step 6: Final answer
   x = 7,972.13