Finding the Fourth Proportional to 10,501.96, 14,492.73 and 5,786.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.96 : 14,492.73 = 5,786.32 : x
2. Step 2: Convert to fraction form
   10,501.96/14,492.73 = 5,786.32/x
3. Step 3: Cross multiply
   10,501.96x = 14,492.73 × 5,786.32
4. Step 4: Simplify right side
   10,501.96x = 83,859,573.45
5. Step 5: Solve for x
   x = 83,859,573.45/10,501.96
6. Step 6: Final answer
   x = 7,985.14