Finding the Fourth Proportional to 9,523.46, 13,138.16 and 5,746.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,523.46 : 13,138.16 = 5,746.77 : x
2. Step 2: Convert to fraction form
   9,523.46/13,138.16 = 5,746.77/x
3. Step 3: Cross multiply
   9,523.46x = 13,138.16 × 5,746.77
4. Step 4: Simplify right side
   9,523.46x = 75,501,955.01
5. Step 5: Solve for x
   x = 75,501,955.01/9,523.46
6. Step 6: Final answer
   x = 7,928.00