Finding the Fourth Proportional to 10,501.48, 14,492.08 and 5,785.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.48 : 14,492.08 = 5,785.76 : x
2. Step 2: Convert to fraction form
   10,501.48/14,492.08 = 5,785.76/x
3. Step 3: Cross multiply
   10,501.48x = 14,492.08 × 5,785.76
4. Step 4: Simplify right side
   10,501.48x = 83,847,696.78
5. Step 5: Solve for x
   x = 83,847,696.78/10,501.48
6. Step 6: Final answer
   x = 7,984.37