Finding the Fourth Proportional to 3,856.00, 5,320.16 and 2,598.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856.00 : 5,320.16 = 2,598.47 : x
2. Step 2: Convert to fraction form
   3,856.00/5,320.16 = 2,598.47/x
3. Step 3: Cross multiply
   3,856.00x = 5,320.16 × 2,598.47
4. Step 4: Simplify right side
   3,856.00x = 13,824,276.46
5. Step 5: Solve for x
   x = 13,824,276.46/3,856.00
6. Step 6: Final answer
   x = 3,585.14