Finding the Fourth Proportional to 9,534.77, 14,301.25 and 5,835.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,534.77 : 14,301.25 = 5,835.10 : x
2. Step 2: Convert to fraction form
   9,534.77/14,301.25 = 5,835.10/x
3. Step 3: Cross multiply
   9,534.77x = 14,301.25 × 5,835.10
4. Step 4: Simplify right side
   9,534.77x = 83,449,123.19
5. Step 5: Solve for x
   x = 83,449,123.19/9,534.77
6. Step 6: Final answer
   x = 8,752.09