Finding the Fourth Proportional to 10,492.64, 14,478.56 and 5,776.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.64 : 14,478.56 = 5,776.64 : x
2. Step 2: Convert to fraction form
   10,492.64/14,478.56 = 5,776.64/x
3. Step 3: Cross multiply
   10,492.64x = 14,478.56 × 5,776.64
4. Step 4: Simplify right side
   10,492.64x = 83,637,428.84
5. Step 5: Solve for x
   x = 83,637,428.84/10,492.64
6. Step 6: Final answer
   x = 7,971.06