Finding the Fourth Proportional to 10,492.56, 14,477.76 and 7,846.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.56 : 14,477.76 = 7,846.08 : x
2. Step 2: Convert to fraction form
   10,492.56/14,477.76 = 7,846.08/x
3. Step 3: Cross multiply
   10,492.56x = 14,477.76 × 7,846.08
4. Step 4: Simplify right side
   10,492.56x = 113,593,663.18
5. Step 5: Solve for x
   x = 113,593,663.18/10,492.56
6. Step 6: Final answer
   x = 10,826.12