Finding the Fourth Proportional to 10,501.49, 14,492.09 and 5,785.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.49 : 14,492.09 = 5,785.76 : x
2. Step 2: Convert to fraction form
   10,501.49/14,492.09 = 5,785.76/x
3. Step 3: Cross multiply
   10,501.49x = 14,492.09 × 5,785.76
4. Step 4: Simplify right side
   10,501.49x = 83,847,653.25
5. Step 5: Solve for x
   x = 83,847,653.25/10,501.49
6. Step 6: Final answer
   x = 7,984.36