Finding the Fourth Proportional to 3,840.48, 5,762.34 and 3,534.00

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840.48 : 5,762.34 = 3,534.00 : x
2. Step 2: Convert to fraction form
   3,840.48/5,762.34 = 3,534.00/x
3. Step 3: Cross multiply
   3,840.48x = 5,762.34 × 3,534.00
4. Step 4: Simplify right side
   3,840.48x = 20,364,087.95
5. Step 5: Solve for x
   x = 20,364,087.95/3,840.48
6. Step 6: Final answer
   x = 5,302.49