Finding the Fourth Proportional to 10,362.59, 14,300.40 and 5,646.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.59 : 14,300.40 = 5,646.87 : x
2. Step 2: Convert to fraction form
   10,362.59/14,300.40 = 5,646.87/x
3. Step 3: Cross multiply
   10,362.59x = 14,300.40 × 5,646.87
4. Step 4: Simplify right side
   10,362.59x = 80,752,499.75
5. Step 5: Solve for x
   x = 80,752,499.75/10,362.59
6. Step 6: Final answer
   x = 7,792.70