Finding the Fourth Proportional to 9,671.48, 13,345.64 and 5,692.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,671.48 : 13,345.64 = 5,692.35 : x
2. Step 2: Convert to fraction form
   9,671.48/13,345.64 = 5,692.35/x
3. Step 3: Cross multiply
   9,671.48x = 13,345.64 × 5,692.35
4. Step 4: Simplify right side
   9,671.48x = 75,968,025.39
5. Step 5: Solve for x
   x = 75,968,025.39/9,671.48
6. Step 6: Final answer
   x = 7,854.85