Finding the Fourth Proportional to 10,492.63, 14,480.65 and 5,777.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.63 : 14,480.65 = 5,777.76 : x
2. Step 2: Convert to fraction form
   10,492.63/14,480.65 = 5,777.76/x
3. Step 3: Cross multiply
   10,492.63x = 14,480.65 × 5,777.76
4. Step 4: Simplify right side
   10,492.63x = 83,665,720.34
5. Step 5: Solve for x
   x = 83,665,720.34/10,492.63
6. Step 6: Final answer
   x = 7,973.76