Finding the Fourth Proportional to 9,534.81, 13,158.72 and 5,758.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,534.81 : 13,158.72 = 5,758.89 : x
2. Step 2: Convert to fraction form
   9,534.81/13,158.72 = 5,758.89/x
3. Step 3: Cross multiply
   9,534.81x = 13,158.72 × 5,758.89
4. Step 4: Simplify right side
   9,534.81x = 75,779,621.02
5. Step 5: Solve for x
   x = 75,779,621.02/9,534.81
6. Step 6: Final answer
   x = 7,947.68