Finding the Fourth Proportional to 9,878.00, 14,822.82 and 3,642.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.00 : 14,822.82 = 3,642.35 : x
2. Step 2: Convert to fraction form
   9,878.00/14,822.82 = 3,642.35/x
3. Step 3: Cross multiply
   9,878.00x = 14,822.82 × 3,642.35
4. Step 4: Simplify right side
   9,878.00x = 53,989,824.31
5. Step 5: Solve for x
   x = 53,989,824.31/9,878.00
6. Step 6: Final answer
   x = 5,465.67