Finding the Fourth Proportional to 10,492.14, 14,479.15 and 5,776.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.14 : 14,479.15 = 5,776.42 : x
2. Step 2: Convert to fraction form
   10,492.14/14,479.15 = 5,776.42/x
3. Step 3: Cross multiply
   10,492.14x = 14,479.15 × 5,776.42
4. Step 4: Simplify right side
   10,492.14x = 83,637,651.64
5. Step 5: Solve for x
   x = 83,637,651.64/10,492.14
6. Step 6: Final answer
   x = 7,971.46