Finding the Fourth Proportional to 9,784.34, 13,501.50 and 5,804.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.34 : 13,501.50 = 5,804.78 : x
2. Step 2: Convert to fraction form
   9,784.34/13,501.50 = 5,804.78/x
3. Step 3: Cross multiply
   9,784.34x = 13,501.50 × 5,804.78
4. Step 4: Simplify right side
   9,784.34x = 78,373,237.17
5. Step 5: Solve for x
   x = 78,373,237.17/9,784.34
6. Step 6: Final answer
   x = 8,010.07