Finding the Fourth Proportional to 7,302.50, 10,077.47 and 4,158.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,302.50 : 10,077.47 = 4,158.69 : x
2. Step 2: Convert to fraction form
   7,302.50/10,077.47 = 4,158.69/x
3. Step 3: Cross multiply
   7,302.50x = 10,077.47 × 4,158.69
4. Step 4: Simplify right side
   7,302.50x = 41,909,073.71
5. Step 5: Solve for x
   x = 41,909,073.71/7,302.50
6. Step 6: Final answer
   x = 5,739.00