Finding the Fourth Proportional to 10,611.79, 14,642.70 and 5,896.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,611.79 : 14,642.70 = 5,896.07 : x
2. Step 2: Convert to fraction form
   10,611.79/14,642.70 = 5,896.07/x
3. Step 3: Cross multiply
   10,611.79x = 14,642.70 × 5,896.07
4. Step 4: Simplify right side
   10,611.79x = 86,334,384.19
5. Step 5: Solve for x
   x = 86,334,384.19/10,611.79
6. Step 6: Final answer
   x = 8,135.70