Finding the Fourth Proportional to 10,492.54, 14,479.68 and 5,776.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.54 : 14,479.68 = 5,776.82 : x
2. Step 2: Convert to fraction form
   10,492.54/14,479.68 = 5,776.82/x
3. Step 3: Cross multiply
   10,492.54x = 14,479.68 × 5,776.82
4. Step 4: Simplify right side
   10,492.54x = 83,646,505.02
5. Step 5: Solve for x
   x = 83,646,505.02/10,492.54
6. Step 6: Final answer
   x = 7,972.00