Finding the Fourth Proportional to 10,492.47, 14,478.95 and 5,776.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.47 : 14,478.95 = 5,776.75 : x
2. Step 2: Convert to fraction form
   10,492.47/14,478.95 = 5,776.75/x
3. Step 3: Cross multiply
   10,492.47x = 14,478.95 × 5,776.75
4. Step 4: Simplify right side
   10,492.47x = 83,641,306.95
5. Step 5: Solve for x
   x = 83,641,306.95/10,492.47
6. Step 6: Final answer
   x = 7,971.56