Finding the Fourth Proportional to 7,459.83, 10,294.42 and 4,102.60

Step by Step Solution

1. Step 1: Write the proportion equation
   7,459.83 : 10,294.42 = 4,102.60 : x
2. Step 2: Convert to fraction form
   7,459.83/10,294.42 = 4,102.60/x
3. Step 3: Cross multiply
   7,459.83x = 10,294.42 × 4,102.60
4. Step 4: Simplify right side
   7,459.83x = 42,233,887.49
5. Step 5: Solve for x
   x = 42,233,887.49/7,459.83
6. Step 6: Final answer
   x = 5,661.51