Finding the Fourth Proportional to 10,501.48, 14,492.06 and 5,785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.48 : 14,492.06 = 5,785.75 : x
2. Step 2: Convert to fraction form
   10,501.48/14,492.06 = 5,785.75/x
3. Step 3: Cross multiply
   10,501.48x = 14,492.06 × 5,785.75
4. Step 4: Simplify right side
   10,501.48x = 83,847,436.15
5. Step 5: Solve for x
   x = 83,847,436.15/10,501.48
6. Step 6: Final answer
   x = 7,984.34