Finding the Fourth Proportional to 10,492.60, 14,478.54 and 5,776.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.60 : 14,478.54 = 5,776.60 : x
2. Step 2: Convert to fraction form
   10,492.60/14,478.54 = 5,776.60/x
3. Step 3: Cross multiply
   10,492.60x = 14,478.54 × 5,776.60
4. Step 4: Simplify right side
   10,492.60x = 83,636,734.16
5. Step 5: Solve for x
   x = 83,636,734.16/10,492.60
6. Step 6: Final answer
   x = 7,971.02