Finding the Fourth Proportional to 9,653.16, 13,320.54 and 5,878.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.16 : 13,320.54 = 5,878.02 : x
2. Step 2: Convert to fraction form
   9,653.16/13,320.54 = 5,878.02/x
3. Step 3: Cross multiply
   9,653.16x = 13,320.54 × 5,878.02
4. Step 4: Simplify right side
   9,653.16x = 78,298,400.53
5. Step 5: Solve for x
   x = 78,298,400.53/9,653.16
6. Step 6: Final answer
   x = 8,111.17