Finding the Fourth Proportional to 10,501.65, 14,492.52 and 5,786.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.65 : 14,492.52 = 5,786.37 : x
2. Step 2: Convert to fraction form
   10,501.65/14,492.52 = 5,786.37/x
3. Step 3: Cross multiply
   10,501.65x = 14,492.52 × 5,786.37
4. Step 4: Simplify right side
   10,501.65x = 83,859,082.95
5. Step 5: Solve for x
   x = 83,859,082.95/10,501.65
6. Step 6: Final answer
   x = 7,985.32