Finding the Fourth Proportional to 10,490.78, 14,477.50 and 5,775.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490.78 : 14,477.50 = 5,775.06 : x
2. Step 2: Convert to fraction form
   10,490.78/14,477.50 = 5,775.06/x
3. Step 3: Cross multiply
   10,490.78x = 14,477.50 × 5,775.06
4. Step 4: Simplify right side
   10,490.78x = 83,608,492.66
5. Step 5: Solve for x
   x = 83,608,492.66/10,490.78
6. Step 6: Final answer
   x = 7,969.71