Finding the Fourth Proportional to 10,362.63, 14,300.42 and 5,646.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.63 : 14,300.42 = 5,646.91 : x
2. Step 2: Convert to fraction form
   10,362.63/14,300.42 = 5,646.91/x
3. Step 3: Cross multiply
   10,362.63x = 14,300.42 × 5,646.91
4. Step 4: Simplify right side
   10,362.63x = 80,753,184.70
5. Step 5: Solve for x
   x = 80,753,184.70/10,362.63
6. Step 6: Final answer
   x = 7,792.73