Finding the Fourth Proportional to 10,617.42, 14,652.86 and 5,902.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,617.42 : 14,652.86 = 5,902.01 : x
2. Step 2: Convert to fraction form
   10,617.42/14,652.86 = 5,902.01/x
3. Step 3: Cross multiply
   10,617.42x = 14,652.86 × 5,902.01
4. Step 4: Simplify right side
   10,617.42x = 86,481,223.47
5. Step 5: Solve for x
   x = 86,481,223.47/10,617.42
6. Step 6: Final answer
   x = 8,145.22