Finding the Fourth Proportional to 7,406.58, 10,213.25 and 5,810.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,406.58 : 10,213.25 = 5,810.25 : x
2. Step 2: Convert to fraction form
   7,406.58/10,213.25 = 5,810.25/x
3. Step 3: Cross multiply
   7,406.58x = 10,213.25 × 5,810.25
4. Step 4: Simplify right side
   7,406.58x = 59,341,506.76
5. Step 5: Solve for x
   x = 59,341,506.76/7,406.58
6. Step 6: Final answer
   x = 8,012.00