Finding the Fourth Proportional to 9,853.31, 13,594.01 and 7,585.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,853.31 : 13,594.01 = 7,585.34 : x
2. Step 2: Convert to fraction form
   9,853.31/13,594.01 = 7,585.34/x
3. Step 3: Cross multiply
   9,853.31x = 13,594.01 × 7,585.34
4. Step 4: Simplify right side
   9,853.31x = 103,115,188.17
5. Step 5: Solve for x
   x = 103,115,188.17/9,853.31
6. Step 6: Final answer
   x = 10,465.03