Finding the Fourth Proportional to 9,782.16, 14,651.04 and 5,878.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.16 : 14,651.04 = 5,878.32 : x
2. Step 2: Convert to fraction form
   9,782.16/14,651.04 = 5,878.32/x
3. Step 3: Cross multiply
   9,782.16x = 14,651.04 × 5,878.32
4. Step 4: Simplify right side
   9,782.16x = 86,123,501.45
5. Step 5: Solve for x
   x = 86,123,501.45/9,782.16
6. Step 6: Final answer
   x = 8,804.14