Finding the Fourth Proportional to 9,782.59, 13,499.61 and 5,801.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.59 : 13,499.61 = 5,801.32 : x
2. Step 2: Convert to fraction form
   9,782.59/13,499.61 = 5,801.32/x
3. Step 3: Cross multiply
   9,782.59x = 13,499.61 × 5,801.32
4. Step 4: Simplify right side
   9,782.59x = 78,315,557.49
5. Step 5: Solve for x
   x = 78,315,557.49/9,782.59
6. Step 6: Final answer
   x = 8,005.61